Question

A rectangle has vertices E(-4,9), F(2,8), G(2,-2), and H (-4,-2). The rectangle is dilated

so that G' is located at (5,-5). What is the scale factor used to dilate the rectangle?

Answer 1

The scale factor used to dilate the rectangle is 3.

Step-by-step explanation:

To find the scale factor used to dilate the rectangle, we can compare the change in the x-coordinates and the change in the y-coordinates of the corresponding vertices. The x-coordinates of G and G' have changed from 2 to 5, which is an increase of 3. The y-coordinates of G and G' have changed from -2 to -5, which is a decrease of 3. Therefore, the scale factor used to dilate the rectangle is 3.