Question

What scale factor was used when going from the grey triangle to the yellow triangle

Answer 1

Scale factor of 1/3

Explanation:

Answer 2

It was used
`(1)/(3)` as scale factor.

Explanation:

The scale factor is the ratio of two corresponding side lengths of similar figures. Similar figures have the same shape but are of different sizes.

To find the scale factor that was used when going from the grey triangle to the yellow triangle we can work with any of the three sides of the grey triangle.

Let's work with the below side.

The below side is extended from the point
`(-2,4)` to the point
`(7,4)`

The length of this side is 9 units.

In the yellow triangle, we can see that the below side is extended from the point
`(2,0)` to the point
`(5,0)`

The length of this side is 3 units.

Working with the lengths and the scale factor ⇒

`(9units).(ScaleFactor)=3units`

`ScaleFactor=(3units)/(9units)=(1)/(3)`

We find that the scale factor that was used when going from the grey triangle to the yellow triangle is
`(1)/(3)`