Dilations or Scaling around a Point Geometry Transformations Dilations or Scaling around a Point Questions If the coordinates of a triangle are #(2,2), (2,4)#, and #(5,2)#, what are the new coordinates after a dilation of -1/2? What type of dilation is determined by a scale factor of 2/3? Are dilated triangles basically just similar triangles? How do you locate the center of a dilation? What are the coordinates of the image of the point #(–3, 6)# after a dilation with a center of #(0, 0)# and scale factor of #1/3#? Is a dilation always an isometry? How do you find scale factor? How can dilations be used in real life? How do dilations relate to similarity? How do you calculate the scale factor of a dilation? How does a dilation affect a figure on a coordinate plane? How does dilation affect angle measures? How does dilation affect the length of line segments? What are some examples of dilation? Why is dilation not an isometry? How do you dilate a rectangle with points #(6,3), (2,3) (6,9) (2,9)# by a scale factor of .5 with #6,3# as the center of dilation? A triangle has corners at #(5, 8 )#, #( 3, 1 )#, and #( 9 , 2 )#. If the triangle is dilated by # 3 x# around #(4, 2)#, what will the new coordinates of its corners be? A triangle has corners at #(3, 8 )#, #( 2, 1 )#, and #( 9 , 6 )#. If the triangle is dilated by # 3 x# around #(1, 2)#, what will the new coordinates of its corners be? A triangle has corners at #(3, 1 )#, #( 2, 3 )#, and #( 5 , 6 )#. If the triangle is dilated by # 2/5 x# around #(1, 2)#, what will the new coordinates of its corners be? A triangle has corners at #(3, 1 )#, #( 2, 3 )#, and #( 2 , 6 )#. If the triangle is dilated by # 1/5 x# around #(1, 1)#, what will the new coordinates of its corners be? A triangle has corners at #(3, 4 )#, #( 6, 3 )#, and #( 7 , 2 )#. If the triangle is dilated by # 5 x# around #(1, 1)#, what will the new coordinates of its corners be? A triangle has corners at #(1, 4 )#, #( 2, 3 )#, and #( 5 , 2 )#. If the triangle is dilated by # 3 x# around #(1, 1)#, what will the new coordinates of its corners be? A triangle has corners at #(1, 2 )#, #( 2, 3 )#, and #( 1 , 5 )#. If the triangle is dilated by # 4 x# around #(3, 1)#, what will the new coordinates of its corners be? A triangle has corners at #(2, 1 )#, #( 4, 7 )#, and #( 3 , 5 )#. If the triangle is dilated by # 4 x# around #(2, 5)#, what will the new coordinates of its corners be? A triangle has corners at #(2, 1 )#, #( 4, 3 )#, and #( 1 , 5 )#. If the triangle is dilated by # 2 x# around #(2, 5)#, what will the new coordinates of its corners be? A triangle has corners at #(2, 7 )#, #( 6, 3 )#, and #( 2 , 5 )#. If the triangle is dilated by # 2 x# around #(2, 5)#, what will the new coordinates of its corners be? A triangle has corners at #(1, 7 )#, #( 8, 3 )#, and #( 4 , 8 )#. If the triangle is dilated by # 2 x# around #(2, 5)#, what will the new coordinates of its corners be? A triangle has corners at #(2, 7 )#, #( 8, 3 )#, and #( 4 , 8 )#. If the triangle is dilated by # 7 x# around #(1, 3)#, what will the new coordinates of its corners be? A triangle has corners at #(2, 5 )#, #( 1, 3 )#, and #( 4 , 2 )#. If the triangle is dilated by # 7 x# around #(1, 3)#, what will the new coordinates of its corners be? A triangle has corners at #(4, 5 )#, #( 4, 3 )#, and #( 4 , 2 )#. If the triangle is dilated by # 2 x# around #(1, 0)#, what will the new coordinates of its corners be? A triangle has corners at #(4, 5 )#, #( 2, 3 )#, and #(2 , 2 )#. If the triangle is dilated by # 4 x# around #(0, 1)#, what will the new coordinates of its corners be? A triangle has corners at #(2, 1 )#, #( 1, 3 )#, and #(5 , 5 )#. If the triangle is dilated by # 3 x# around #(1, 6)#, what will the new coordinates of its corners be? A line segment has endpoints at #(1 ,4 )# and #(4 , 9)#. The line segment is dilated by a factor of #1/3 # around #(4 , 2)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,4 )# and #(3 , 9)#. The line segment is dilated by a factor of #1/2 # around #(4 , 2)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,2 )# and #(3 , 9)#. The line segment is dilated by a factor of #1/2 # around #(4 , 2)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,2 )# and #(3 , 1)#. The line segment is dilated by a factor of #1/2 # around #(2 , 5)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,2 )# and #(3 , 1)#. The line segment is dilated by a factor of #1/4 # around #(2 , 5)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,2 )# and #(3 , 1)#. The line segment is dilated by a factor of #4 # around #(2 , 5)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,2 )# and #(3 , 1)#. The line segment is dilated by a factor of #4 # around #(2 , 3)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,2 )# and #(2 , 5)#. The line segment is dilated by a factor of #4 # around #(2 , 3)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,2 )# and #(7 , 5)#. The line segment is dilated by a factor of #4 # around #(2 , 3)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,2 )# and #(2 , 4)#. The line segment is dilated by a factor of #4 # around #(1 , 1)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(9 ,2 )# and #(7 , 4)#. The line segment is dilated by a factor of #4 # around #(1 , 5)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(9 ,2 )# and #(7 , 4)#. The line segment is dilated by a factor of #3 # around #(1 , 5)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(9 ,2 )# and #(5 , 4)#. The line segment is dilated by a factor of #3 # around #(2 , 3)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,8 )# and #(5 , 9)#. The line segment is dilated by a factor of #3 # around #(2 , 3)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,8 )# and #(3 , 9)#. The line segment is dilated by a factor of #3 # around #(2 , 3)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(2 ,8 )# and #(3 , 1)#. The line segment is dilated by a factor of #3 # around #(1 , 4)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(2 ,8 )# and #(2 , 1)#. The line segment is dilated by a factor of #3 # around #(6 , 4)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,8 )# and #(2 , 1)#. The line segment is dilated by a factor of #3 # around #(6 , 4)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,6 )# and #(2 , 1)#. The line segment is dilated by a factor of #3 # around #(6 , 2)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,6 )# and #(7 , 3)#. The line segment is dilated by a factor of #2 # around #(4 , 2)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,6 )# and #(6 , 1)#. The line segment is dilated by a factor of #2 # around #(4 , 2)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(75 ,8 )# and #(2 , 1)#. The line segment is dilated by a factor of #2 # around #(4 , 5)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,8 )# and #(2 , 1)#. The line segment is dilated by a factor of #2 # around #(3 , 5)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,8 )# and #(2 , 1)#. The line segment is dilated by a factor of #1/2 # around #(3 , 5)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,5 )# and #(3 ,5 )#. The line segment is dilated by a factor of #1/2 # around #(3 , 2)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,5 )# and #(3 ,7 )#. The line segment is dilated by a factor of #1/2 # around #(3 , 1)#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(8 ,4 )# and #(3 ,7 )#. The line segment is dilated by a factor of #1/2 # around #(3 ,2 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(8 ,4 )# and #(3 ,7 )#. The line segment is dilated by a factor of #3 # around #(3 ,2 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(2 ,4 )# and #(5 ,3 )#. The line segment is dilated by a factor of #3 # around #(3 ,8 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(a, b)# and #(c, d )#. The line segment is dilated by a factor of #r# around #(p,q )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,4 )# and #(5 ,3 )#. The line segment is dilated by a factor of #3 # around #(2 ,6 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,4 )# and #(7 ,3 )#. The line segment is dilated by a factor of #3 # around #(2 ,6 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,4 )# and #(7 ,9 )#. The line segment is dilated by a factor of #3 # around #(2 ,6 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,4 )# and #(3 ,5 )#. The line segment is dilated by a factor of #1 # around #(2 ,6 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,4 )# and #(3 ,5 )#. The line segment is dilated by a factor of #6 # around #(2 ,5 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,4 )# and #(3 ,4 )#. The line segment is dilated by a factor of #6 # around #(2 ,5 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,2 )# and #(3 ,4 )#. The line segment is dilated by a factor of #6 # around #(2 ,5 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(7 ,2 )# and #(3 ,4 )#. The line segment is dilated by a factor of #6 # around #(4 ,5 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(7 ,2 )# and #(1 ,8 )#. The line segment is dilated by a factor of #6 # around #(4 ,5 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(7 ,4 )# and #(3 ,8 )#. The line segment is dilated by a factor of #5 # around #(4 ,2 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,1 )# and #(3 ,9 )#. The line segment is dilated by a factor of #5 # around #(2 ,2 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(4 ,3 )# and #(3 ,9 )#. The line segment is dilated by a factor of #4 # around #(2 ,2 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(4 ,3 )# and #(2 ,6 )#. The line segment is dilated by a factor of #4 # around #(1 ,2 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(4 ,3 )# and #(2 ,6 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(4 ,3 )# and #(2 ,5 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(4 ,7 )# and #(2 ,5 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(4 ,7 )# and #(1 ,5 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(9 ,7 )# and #(1 ,2 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(9 ,1 )# and #(1 ,2 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(2 ,1 )# and #(4 ,2 )#. The line segment is dilated by a factor of #4 # around #(3 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(2 ,1 )# and #(6 ,2 )#. The line segment is dilated by a factor of #4 # around #(2 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,6 )# and #(5 ,2 )#. The line segment is dilated by a factor of #4 # around #(2 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,6 )# and #(5 ,8 )#. The line segment is dilated by a factor of #4 # around #(2 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(7 ,6 )# and #(5 ,8 )#. The line segment is dilated by a factor of #4 # around #(2 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(7 ,6 )# and #(5 ,8 )#. The line segment is dilated by a factor of #3 # around #(2 ,4 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(7 ,3 )# and #(5 ,8 )#. The line segment is dilated by a factor of #3 # around #(3 ,4 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(7 ,3 )# and #(1 ,2 )#. The line segment is dilated by a factor of #3 # around #(3 ,4 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(9 ,3 )# and #(5 ,9 )#. The line segment is dilated by a factor of #3 # around #(4 ,4 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(9 ,3 )# and #(5 ,4 )#. The line segment is dilated by a factor of #3 # around #(4 ,6 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(9 ,7 )# and #(5 ,4 )#. The line segment is dilated by a factor of #3 # around #(4 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(2 ,7 )# and #(5 ,4 )#. The line segment is dilated by a factor of #3 # around #(4 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(2 ,7 )# and #(5 ,4 )#. The line segment is dilated by a factor of #2 # around #(4 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(2 ,7 )# and #(5 ,4 )#. The line segment is dilated by a factor of #2 # around #(4 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(2 ,7 )# and #(5 ,4 )#. The line segment is dilated by a factor of #2 # around #(1 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(2 ,7 )# and #(8 ,2 )#. The line segment is dilated by a factor of #2 # around #(1 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(0 ,9 )# and #(8 ,2 )#. The line segment is dilated by a factor of #2 # around #(1 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(0 ,9 )# and #(8 ,2 )#. The line segment is dilated by a factor of #2 # around #(5 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,9 )# and #(8 ,2 )#. The line segment is dilated by a factor of #2 # around #(5 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,9 )# and #(2 ,2 )#. The line segment is dilated by a factor of #2 # around #(5 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,9 )# and #(6 ,7 )#. The line segment is dilated by a factor of #2 # around #(5 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(5 ,9 )# and #(6 ,7 )#. The line segment is dilated by a factor of #4 # around #(5 ,1 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,9 )# and #(6 ,7 )#. The line segment is dilated by a factor of #4 # around #(4 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(1 ,6 )# and #(6 ,7 )#. The line segment is dilated by a factor of #4 # around #(4 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(7 ,6 )# and #(5 ,2 )#. The line segment is dilated by a factor of #4 # around #(4 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(7 ,6 )# and #(9 ,2 )#. The line segment is dilated by a factor of #4 # around #(4 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,6 )# and #(9 ,4 )#. The line segment is dilated by a factor of #4 # around #(4 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,2 )# and #(5 ,4 )#. The line segment is dilated by a factor of #4 # around #(2 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,2 )# and #(5 ,4 )#. The line segment is dilated by a factor of #4 # around #(1 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,2 )# and #(6 ,8 )#. The line segment is dilated by a factor of #4 # around #(1 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,5 )# and #(6 ,1 )#. The line segment is dilated by a factor of #4 # around #(1 ,3 )#. What are the new endpoints and length of the line segment? A line segment has endpoints at #(3 ,5 )# and #(6 ,1 )#. The line segment is dilated by a factor of #4 # around #(6 ,2 )#. What are the new endpoints and length of the line segment? A triangle as corners at #(3 ,1)#, #(5 ,2)#, and #(9 ,4)#. If the triangle is dilated by a factor of #4 # about #(1 ,9), how far will its centroid move? A triangle as corners at #(3 ,5 )#, #(5 ,2)#, and #(9 ,4)#. If the triangle is dilated by a factor of #4 # about #(1 ,9), how far will its centroid move? A triangle as corners at #(2 ,5 )#, #(7 ,2)#, and #(3 ,1)#. If the triangle is dilated by a factor of #4 # about #(1 ,9), how far will its centroid move? A triangle as corners at #(4 ,5 )#, #(5 ,3)#, and #(2 ,1)#. If the triangle is dilated by a factor of #4 # about #(4 ,2 ), how far will its centroid move? A triangle as corners at #(1 ,7 )#, #(4 ,3 )#, and #(2 ,6 )#. If the triangle is dilated by a factor of #3 # about #(4 ,2 ), how far will its centroid move? A triangle as corners at #(2 ,7 )#, #(5 ,8 )#, and #(3 ,1 )#. If the triangle is dilated by a factor of #3 # about #(6 ,5 ), how far will its centroid move? A triangle as corners at #(5 ,2 )#, #(2 ,4 )#, and #(3 ,8 )#. If the triangle is dilated by a factor of #3 # about #(2 ,3 ), how far will its centroid move? A triangle as corners at #(5 ,3 )#, #(1 ,4 )#, and #(3 ,5 )#. If the triangle is dilated by a factor of #3 # about #(2 ,2 ), how far will its centroid move? A triangle has corners at #(7 ,8 )#, #(2 ,4 )#, and #(6 ,3 )#. If the triangle is dilated by a factor of #2 # about point #(6 ,12 ), how far will its centroid move? A triangle has corners at #(7 ,3 )#, #(9 ,4 )#, and #(5 ,2 )#. If the triangle is dilated by a factor of #2 # about point #(6 ,1 ), how far will its centroid move? A triangle has corners at #(5 ,3 )#, #(9 ,4 )#, and #(2 ,2 )#. If the triangle is dilated by a factor of #2 # about point #(9 ,1 ), how far will its centroid move? A triangle has corners at #(1 ,3 )#, #(9 ,4 )#, and #(2 ,2 )#. If the triangle is dilated by a factor of #2 # about point #(9 ,5 ), how far will its centroid move? A triangle has corners at #(1 ,3 )#, #(7 ,7 )#, and #(8 ,5 )#. If the triangle is dilated by a factor of #2 # about point #(3 ,5 ), how far will its centroid move? A triangle has corners at #(5 ,3 )#, #(4 ,6 )#, and #(8 ,5 )#. If the triangle is dilated by a factor of #2 # about point #(3 ,2 )#, how far will its centroid move? A triangle has corners at #(-2 ,3 )#, #(3 ,6 )#, and #(8 ,-6 )#. If the triangle is dilated by a factor of #2 # about point #(1 ,2 ), how far will its centroid move? A triangle has corners at #(-2 ,3 )#, #(3 ,2 )#, and #(5 ,-6 )#. If the triangle is dilated by a factor of #2 # about point #(1 ,-8 ), how far will its centroid move? A triangle has corners at #(-2 ,3 )#, #(1 ,-4 )#, and #(5 ,-6 )#. If the triangle is dilated by a factor of #2 # about point #(-2 ,-3 ), how far will its centroid move? A triangle has corners at #(1 ,5 )#, #(-1 ,-4 )#, and #(5 ,-6 )#. If the triangle is dilated by a factor of #2 # about point #(-2 ,-3 )#, how far will its centroid move? A triangle has corners at #(1 ,5 )#, #(-3 ,-4 )#, and #(7 ,-2 )#. If the triangle is dilated by a factor of #2 # about point #(-5 ,3)#, how far will its centroid move? A triangle has corners at #(1 ,2 )#, #(-3 ,-1 )#, and #(4 ,-2 )#. If the triangle is dilated by a factor of #2 # about point #(-5 ,7 ), how far will its centroid move? A triangle has corners at #(1 ,9 )#, #(-6 ,-1 )#, and #(1 ,-2 )#. If the triangle is dilated by a factor of #2 # about point #(-5 ,-2 ), how far will its centroid move? A triangle has corners at #(6 ,9 )#, #(-2 ,-1 )#, and #(1 ,-1 )#. If the triangle is dilated by a factor of #1/3 # about point #(-5 ,-2 ), how far will its centroid move? A triangle has corners at #(6 ,2 )#, #(-3 ,4 )#, and #(1 ,-1 )#. If the triangle is dilated by a factor of #1/3 # about point #(-2 ,-2 ), how far will its centroid move? A triangle has corners at #(5 ,2 )#, #(-3 ,-3 )#, and #(1 ,-2 )#. If the triangle is dilated by a factor of #1/3 # about point #(5 ,-2 ), how far will its centroid move? A triangle has corners at #(4 ,2 )#, #(2 ,-3 )#, and #(8 ,-2 )#. If the triangle is dilated by a factor of #1/3 # about point #(-3 ,-1 ), how far will its centroid move? A triangle has corners at #(4 ,-6 )#, #(3 ,-3 )#, and #(8 ,4 )#. If the triangle is dilated by a factor of #1/3 # about point #(-3 ,2 ), how far will its centroid move? A triangle has corners at #(4 ,-6 )#, #(3 ,2 )#, and #(1 ,3 )#. If the triangle is dilated by a factor of #1/3 # about point #(6 ,2 ), how far will its centroid move? A triangle has corners at #(4 ,-2 )#, #(-1 ,2 )#, and #(1 ,3 )#. If the triangle is dilated by a factor of #1/3 # about point #(6 ,8 ), how far will its centroid move? A triangle has corners at #(-3 ,-1 )#, #(5 ,6 )#, and #(-4 ,7 )#. If the triangle is dilated by a factor of #1/3 # about point #(2 ,-1 ), how far will its centroid move? A triangle has corners at #(-3 ,-1 )#, #(7 ,3 )#, and #(1 ,2 )#. If the triangle is dilated by a factor of #1/3 # about point #(-3 ,4 ), how far will its centroid move? A triangle has corners at #(-3 ,5 )#, #(7 ,6 )#, and #(1 ,-4 )#. If the triangle is dilated by a factor of #2/3 # about point #(-3 ,4 ), how far will its centroid move? A triangle has corners at #(-4 ,2 )#, #(7 ,1 )#, and #(2 ,-7 )#. If the triangle is dilated by a factor of #2/5 # about point #(-1 ,4 ), how far will its centroid move? A triangle has corners at #(2 ,-5 )#, #(-1 ,2 )#, and #(3 ,-3 )#. If the triangle is dilated by a factor of #2/5 # about point #(-1 ,3 ), how far will its centroid move? A triangle has corners at #(2, -5)#, #(-8, 4)#, and #(1, -3)#. If the triangle is dilated by a factor of #2/5# about point #(-1, -6)#, how far will its centroid move? A triangle has corners at #(2 ,-5 )#, #(-8 ,4 )#, and #(1 ,-3 )#. If the triangle is dilated by a factor of #2/5 # about point #(-1 ,-2 ), how far will its centroid move? A triangle has corners at #(2 ,-2 )#, #(3 ,-1 )#, and #(5 ,7 )#. If the triangle is dilated by a factor of #2/5 # about point #(6 ,-2 ), how far will its centroid move? A triangle has corners at #(-7 ,-2 )#, #(3 ,-1 )#, and #(5 ,7 )#. If the triangle is dilated by a factor of #2/5 # about point #(6 ,-8 ), how far will its centroid move? A triangle has corners at #(-7 ,-5 )#, #(-2 ,-1 )#, and #(3 ,7 )#. If the triangle is dilated by a factor of #2/5 # about point #(1 ,-8 ), how far will its centroid move? A triangle has corners at #(9 ,-5 )#, #(-2 ,-1 )#, and #(3 ,-4 )#. If the triangle is dilated by a factor of #2/5 # about point #(1 ,4 ), how far will its centroid move? A triangle has corners at #(9 ,5 )#, #(4 ,-9 )#, and #(2 ,-4 )#. If the triangle is dilated by a factor of #7/4 # about point #(1 ,4 ), how far will its centroid move? A triangle has corners at #(1 ,5 )#, #(3 ,-9 )#, and #(-1 ,-4 )#. If the triangle is dilated by a factor of #5 # about point #(-1 ,-2 ), how far will its centroid move? A triangle has corners at #(1, 3)#, #(3, -2)#, and #(-1,7)#. If the triangle is dilated by a factor of #5# about point #(-2, -1)#, how far will its centroid move? A triangle has corners at #(-6 ,3 )#, #(3 ,-2 )#, and #(5 ,7 )#. If the triangle is dilated by a factor of #5 # about point #(-2 ,-1 ), how far will its centroid move? A triangle has corners at #(-6 ,3 )#, #(3 ,-2 )#, and #(5 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(-2 ,6 ), how far will its centroid move? A triangle has corners at #(-1 ,3 )#, #(3 ,-2 )#, and #(8 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(-2 ,6 ), how far will its centroid move? A triangle has corners at #(-1 ,2 )#, #(3 ,-5 )#, and #(7 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(-2 ,6 ), how far will its centroid move? A triangle has corners at #(-1 ,2 )#, #(3 ,-5 )#, and #(7 ,-3 )#. If the triangle is dilated by a factor of #5 # about point #(-2 ,4 ), how far will its centroid move? A triangle has corners at #(-1 ,7 )#, #(3 ,-5 )#, and #(7 ,-3 )#. If the triangle is dilated by a factor of #5 # about point #(-2 ,4 ), how far will its centroid move? A triangle has corners at #(-1 ,7 )#, #(-5 ,-3 )#, and #(2 ,9 )#. If the triangle is dilated by a factor of #5 # about point #(-7 ,1 ), how far will its centroid move? A triangle has corners at #(-2 ,6 )#, #(4 ,-3 )#, and #(2 ,9 )#. If the triangle is dilated by a factor of #5 # about point #(-7 ,1 ), how far will its centroid move? A triangle has corners at #(-2 ,6 )#, #(4 ,-3 )#, and #(2 ,9 )#. If the triangle is dilated by a factor of #5 # about point #(-5 ,6 ), how far will its centroid move? A triangle has corners at #(-5 ,6 )#, #(2 ,-3 )#, and #(8 ,9 )#. If the triangle is dilated by a factor of #5 # about point #(-3 ,6 ), how far will its centroid move? A triangle has corners at #(1 ,3 )#, #(2 ,-2 )#, and #(-8 ,6 )#. If the triangle is dilated by a factor of #5 # about point #(-3 ,2 ), how far will its centroid move? A triangle has corners at #(2 ,3 )#, #(1 ,-2 )#, and #(-6 ,6 )#. If the triangle is dilated by a factor of #5 # about point #(-3 ,2 ), how far will its centroid move? A triangle has corners at #(2 ,3 )#, #(1 ,-2 )#, and #(-6 ,6 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-3 ), how far will its centroid move? A triangle has corners at #(2 ,3 )#, #(4 ,-1 )#, and #(-8 ,6 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-3 ), how far will its centroid move? A triangle has corners at #(1 ,3 )#, #(4 ,-2 )#, and #(-8 ,5 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-3 ), how far will its centroid move? A triangle has corners at #(8 ,3 )#, #(4 ,-6 )#, and #(-2 ,5 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-3 ), how far will its centroid move? A triangle has corners at #(8 ,3 )#, #(4 ,-6 )#, and #(-2 ,5 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-3 ), how far will its centroid move? A triangle has corners at #(8 ,3 )#, #(4 ,-6 )#, and #(-2 ,-4 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-3 ), how far will its centroid move? A triangle has corners at #(8 ,3 )#, #(4 ,-5 )#, and #(-7 ,-4 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-3 ), how far will its centroid move? A triangle has corners at #(8 ,3 )#, #(4 ,-5 )#, and #(2 ,1 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-3 ), how far will its centroid move? A triangle has corners at #(-7 ,3 )#, #(4 ,-1 )#, and #(2 ,1 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-5 ), how far will its centroid move? A triangle has corners at #(6 ,3 )#, #(4 ,-1 )#, and #(2 ,-9 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-5 ), how far will its centroid move? A triangle has corners at #(6 ,3 )#, #(4 ,-1 )#, and #(2 ,-9 )#. If the triangle is dilated by a factor of #5 # about point #(2 ,-4 ), how far will its centroid move? A triangle has corners at #(6 ,3 )#, #(4 ,-1 )#, and #(3 ,-9 )#. If the triangle is dilated by a factor of #5 # about point #(8 ,-6 ), how far will its centroid move? A triangle has corners at #(3 ,1 )#, #(1 ,-2 )#, and #(-4 ,-5 )#. If the triangle is dilated by a factor of #5 # about point #(7 ,-6 ), how far will its centroid move? A triangle has corners at #(3 ,1 )#, #(7 ,-5 )#, and #(-4 ,-2 )#. If the triangle is dilated by a factor of #5 # about point #(7 ,-6 ), how far will its centroid move? A triangle has corners at #(-2 ,1 )#, #(8 ,-5 )#, and #(-3 ,-2 )#. If the triangle is dilated by a factor of #5 # about point #(7 ,5 ), how far will its centroid move? A triangle has corners at #(-2 ,1 )#, #(8 ,-5 )#, and #(-1 ,-2 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-6 ), how far will its centroid move? A triangle has corners at #(-2 ,1 )#, #(8 ,-5 )#, and #(-1 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-6 ), how far will its centroid move? A triangle has corners at #(-2 ,1 )#, #(6 ,-3 )#, and #(-1 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-6 ), how far will its centroid move? A triangle has corners at #(-2 ,1 )#, #(6 ,-3 )#, and #(-1 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-9 ), how far will its centroid move? A triangle has corners at #(2 ,1 )#, #(4 ,-3 )#, and #(-1 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-9 ), how far will its centroid move? A triangle has corners at #(2 ,2 )#, #(4 ,-7 )#, and #(3 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-9 ), how far will its centroid move? A triangle has corners at #(8 ,2 )#, #(4 ,9 )#, and #(7 ,3 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-6 ), how far will its centroid move? A triangle has corners at #(8 ,2 )#, #(4 ,9 )#, and #(-5 ,3 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-2 ), how far will its centroid move? A triangle has corners at #(6 ,2 )#, #(5 ,-8 )#, and #(-5 ,3 )#. If the triangle is dilated by a factor of #5 # about point #(7 ,-2 ), how far will its centroid move? A triangle has corners at #(6 ,2 )#, #(5 ,-8 )#, and #(-5 ,3 )#. If the triangle is dilated by a factor of #5 # about point #(7 ,-2 ), how far will its centroid move? A triangle has corners at #(6 ,5 )#, #(1 ,-6 )#, and #(-2 ,9 )#. If the triangle is dilated by a factor of #5 # about point #(5 ,-5 ), how far will its centroid move? Points A and B are at #(5 ,8 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(5 ,8 )# and #(3 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(5 ,9 )# and #(3 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,9 )# and #(3 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,9 )# and #(3 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,9 )# and #(3 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,2 )# and #(3 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,2 )# and #(3 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,2 )# and #(1 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,2 )# and #(5 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,3 )# and #(5 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,3 )# and #(5 ,4 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,3 )# and #(5 ,4 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,3 )# and #(1 ,4 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,3 )# and #(1 ,4 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,7 )# and #(3 ,4 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,2 )# and #(3 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(6 ,2 )# and #(3 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(6 ,5 )# and #(3 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(6 ,5 )# and #(7 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(6 ,7 )# and #(7 ,4 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,7 )# and #(2 ,4 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,7 )# and #(6 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,7 )# and #(6 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,5 )# and #(6 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,5 )# and #(6 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,5 )# and #(6 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,5 )# and #(2 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,7 )# and #(2 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,2 )# and #(2 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,2 )# and #(1 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,4 )# and #(1 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,4 )# and #(1 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,4 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,4 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,4 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,4 )# and #(7 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,4 )# and #(3 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,1 )# and #(3 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(6 ,1 )# and #(3 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(6 ,1 )# and #(3 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(6 ,7 )# and #(3 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(1 ,7 )# and #(3 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(1 ,7 )# and #(3 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,7 )# and #(3 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,1 )# and #(3 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,1 )# and #(5 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,3 )# and #(5 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,3 )# and #(5 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,3 )# and #(5 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(7 ,3 )# and #(5 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(7 ,3 )# and #(3 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(1 ,8 )# and #(3 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(1 ,8 )# and #(3 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(1 ,1 )# and #(4 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(1 ,1 )# and #(4 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,1 )# and #(4 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,9 )# and #(8 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,9 )# and #(8 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,5 )# and #(8 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,5 )# and #(2 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(8 ,5 )# and #(2 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(1 ,5 )# and #(2 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,5 )# and #(2 ,0 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,5 )# and #(6 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,9 )# and #(6 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,9 )# and #(6 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(7 ,9 )# and #(6 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(7 ,9 )# and #(6 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,9 )# and #(9 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,7 )# and #(4 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,7 )# and #(4 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,7 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,6 )# and #(7 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,6 )# and #(7 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,8 )# and #(7 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(3 ,8 )# and #(7 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(5 ,8 )# and #(7 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(5 ,8 )# and #(7 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(5 ,8 )# and #(8 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(5 ,8 )# and #(8 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(5 ,9 )# and #(8 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,9 )# and #(8 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,7 )# and #(8 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,7 )# and #(4 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,7 )# and #(4 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,7 )# and #(4 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,3 )# and #(4 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,3 )# and #(7 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,3 )# and #(7 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,9 )# and #(7 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,9 )# and #(7 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(5 ,7 )# and #(3 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(5 ,7 )# and #(8 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(9 ,7 )# and #(8 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(5 ,9 )# and #(8 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(6 ,1 )# and #(8 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(6 ,1 )# and #(8 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(6 ,3 )# and #(1 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(7 ,3 )# and #(1 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(7 ,1 )# and #(3 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,1 )# and #(3 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,6 )# and #(7 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,6 )# and #(7 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,1 )# and #(7 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(7 ,1 )# and #(7 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,1 )# and #(8 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,1 )# and #(8 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,6 )# and #(8 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,6 )# and #(1 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,6 )# and #(6 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,5 )# and #(6 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,5 )# and #(6 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,5 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,9 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(4 ,9 )# and #(7 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Points A and B are at #(2 ,9 )# and #(7 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C? Question #e3640 Line XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image line X'Y' . If the slope and length of XY are # m # and #l# respectively, what is the slope of X'Y' ? Pre-image: A(−4, 2) , B(4, 4) , and C(−1, 2) Image: A′(−2, 1) , B′(2, 2) , and C′(−12, 1) Is the dilation an expansion or contraction? What is the scale factor? The dashed triangle is the image of the solid triangle. The center of dilation is (6,6)(6,6). What is the scale factor used to create the dilation? A dilation with center (0, 0) and scale factor k is applied to a polygon. What dilation can you apply to the image to return it to the original preimage? How do you determine if the following scale factor 0.6 would create an enlargement, reduction, or isometric figure? How do you determine if the following scale factor 4/3 would create an enlargement, reduction, or isometric figure? If rectangle DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), what will be the coordinates of point F'? What is the scale factor of two hexagons which the side of one figure is 28 in and the corresponding side on the other is 4? Pre-image point N(6, -3) was dilated to point N'(2,-1). What was the scale factor used? Question #ff732 Transformations View all chapters Dilations or Scaling around a Point Properties and Definitions of Transformations Rotations Reflections Rigid Transformations Next