Question

Triangle ABC has the following coordinates: A (-2, 3) B (4, -3) C (-2, -3) What are the coordinates points for triangle A'B'C' if the scale factor is −3/4.

Answer 1

A'(3/2, -9/4)

B'(-3, 9/4)

C'(3/2, 9/4)

Explanation:

1. You have the following coordinates of the vertices of the triangle ABC:

A(-2,3), B(4,-3), C(-2,-3)

2. Therefore, to know the coordinates of the vertices of the trianle A'B'C' you must multiply each coordinate of the original triangle by the scale factor given in the problem (-3/4).

3. Then, you have:

`A'=((-2)(-3/4)\ ,3(-3/4))=(3/2\ ,-9/4)`

`B'=((4)(-3/4)\ ,(-3)(-3/4))=(-3\ ,9/4)`

`C'=((-2)(-3/4)\ ,(-3)(-3/4))=(3/2\ ,9/4)`