triangle abc has coordinates of A(–5, –7), B(6, –3), and C(2, 7).

Question

Find the coordinates of its image after a dilation centered at the origin with a scale factor of 2.

Answer 1

The coordinate points for it's image after a dilation at the origin with a scale factor of 2 will give you the following coordinates Triangle A'B'C' will be:

A' (-10, -14)

B' (12, -6)

C' (4, 14)

This is the correct answer because a dilation centered at the origin with a scale factor of 2 means that all the original coordinate points would have to be multiplied by 2. Below are the original coordinate points with two distributed to them in parentheses

A: 2(-5,-7)

B: 2(6, -3)

C: 2(2,7)

A: 2 x -5 = -10, 2 x -7 = -14 so A' will be (-10,14)

B: 2 x 6 = 12, 2 x -3 = -6 so B' will be (12, -6)

C: 2 x 2 = 4, 2 x 7 = 14 so C' will be (4,14)

When you find the product of each of the distributions you have solved the problem and are able to graph the new coordinate points for Triangle A'B'C'