Question

What is the scale factor of a triangle with a vertex of A(-6,4) that has been dilated with the center of dilation at the origin so the vertex of its image is A’(-24,16)?

Answer 1

The scale factor is 4

Explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the

figure does not change.

- The scale factor, measures how much larger or smaller

the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* In the problem

- The vertex A of the triangle is (-6 , 4) and its image A' is (-24 , 16)

∵ -24 ÷ -6 = 4

∵ 16 ÷ 4 = 4

∴ The scale factor is 4

∵ 4 > 1

∴ The image of the triangle will be larger

* The scale factor is 4