A triangle has corners at (3, 5 ), ( 6, 2), and ( 4, 3)#. If the triangle is reflected across the x-axis, what will its new centroid be?
1 Answer
Apr 22, 2018
Explanation:
"given the coordinates of the vertices of a triangle"
(x_1,y_1),(x_2,y_2),(x_3,y_3)
"then the coordinates of the centroid are"
•color(white)(x)[1/3(x_1+x_2+x_3),1/3(y_1+y_2+y_3)]
"here "(x_1,y_1)=(3,5),(x_2,y_2)=(6,2),(x_3,y_3)=(4,3)
"hence coordinates of centroid are"
[1/3(3+6+4),1/3(5+2+3)]=(13/3,10/3)
"under a reflection in the x-axis"
• " a point "(x,y)to(x,-y)
rArr(13/3,10/3)to(13/3,-10/3)larrcolor(red)"new centroid"
