Question

What is the image of (9,-5) after a dilation with the scale factor of 2.5?

O (23, 12)
O (22.5, -12.5)
O (-22.5, 12.5)
O (18, 12)

Answer 1

(B) (22.5, -12.5)

Explanation:

When the point
`(9,-5)` is dilated by with a scale factor of 2.5

In a dilation, when its scale factor is less than 1, the pre-image will be lesser than the image.

However, when the scale factor is greater than 1, the pre-image will be greater than the image.

The Image of the dilation of
`(9,-5)` with a scale factor of 2.5 is therefore:

`(9*2.5,-5*2,5)\\=(22.5, -12.5)`

The correct option is B.