A triangle has corners at #(8, 5 )#, ( 2, -2)#, and #(7, -4 )#. If the triangle is reflected across the x-axis, what will its new centroid be? Geometry Transformations Reflections 1 Answer ali ergin Dec 1, 2016 #"the new centroid is : " D'(5.67,0.33)# Explanation: #"1- draw the triangle A(8,5),B(2,-2),C(7,-4)and find its centroid"# #D(x,y)" represents centroid of the triangle ABC"# #D((8+2+7)/3,(5-2-4)/3)# #D(17/3,-1/3)# #"2- reflect the points A,B,C and D by x-axis"# #A(8,5)rArr A'(8,-5)# #B(2,-2)rArr B'(2,2)# #C(7,-4)rArr C'(7,4)# #D(5,67,-0.33)rArr D'(5.67,0.33)# Answer link Related questions What equation results when the function #f(x) = 3^(x)# is reflected in the x-axis and translated... A triangle has corners at #(7, 1 )#, ( 3 , 2)#, and #( 8 , 5 )#. What will the new... A triangle has corners at #(2, 1 )#, ( -4 , 3)#, and #( 8 , 5 )#. What will the new... A triangle has corners at #(2, 1 )#, ( -4 , 3)#, and #( 1 , -2)#. What will the new... A triangle has corners at #(2, 1 )#, ( 6 , 1)#, and #( 1 , -2)#. What will the new... A triangle has corners at #(2, -5 )#, ( 6 , 1)#, and #( 1 , -2)#. What will the new... A triangle has corners at #(2, -5 )#, ( 6 , 1)#, and #( 4 , 3)#. What will the new... A triangle has corners at #(3, -5 )#, ( 2 , -1)#, and #( 4 , 3)#. What will the new... A triangle has corners at #(2, -7 )#, ( 1 , -3)#, and #( 4 , 3)#. What will the new... A triangle has corners at #(4, 6 )#, ( 1 , -3)#, and #( 1 , -4)#. What will the new... See all questions in Reflections Impact of this question 1849 views around the world You can reuse this answer Creative Commons License