Question

I really need help with this, please give a decent explanation for brainliest.

What is the scale factor of the dilation?

A(-4, -6) B(-8, 2) C(-2, 4)

A'(-2, -3) B'(-4, 1) C'(-1, 2)


A) 1
B) 1/2
C) -1/2
D) -2

Answer 1

Notice that A' is half of A. To add to that, if the scale factor is less than 1, you are reducing the size. So that eliminates the first choice. A dilation with a scale factor of 1/2 would look like this.

(x, y) - - > (1/2x, 1/2y)

Plug in any point from A into that equation and it would be equal to A'.

Therefore the answer would be, B) - 1/2