Question

12) Triangle ABC and A'B'C' are shown on the coordinate plane. Which algebraic representation showshow to find the coordinates of triangle A'B'C'?

Answer 1

x,y) ---------> (2/3x, 2/3y)

1) For that dilation, we always start from the pre-image. In this case, the ABC is the bigger one

So taking one point of that triangle as an example.

C(9,3)

And one of that image

C'( 6,2)

Dilating from C to C' all other points follow that same rule.

2) This leads us to conclude

Pre image Image

(x,y) ---------> (2/3x, 2/3y)