Geometry Please Answer!

Question

Triangle ABC has vertices A(0, 0), B(6, 0) and C(2, 8).

1- Graph Triangle ABC and its image, Triangle A'B'C', under the size transformation with center A and scale factor 2.5.

2- What are the coordinates of A', B' and C'?

Answer 1

Your problem statement is a bit confusing. I assume you mean to dilate triangle ABC about point A (the origin) by a scale factor of 2.5.

Since A is the point of dilation, it doesn't move so A' = A. B' and C' are 2.5 times further away from A than B and C.

A' = A = (0,0)

B' = ((2.5·6, 2.5·0) = (15, 0)

C' = (2.5·2, 2.5·8) = (5, 20)

I assume you know how to plot the points on a coordinate plane.