Question

rectangle defg was dilated to form defg. point g(-2, 0) was dilated to g(-10, 0).

Explanation:

Assuming the problem is to find the scale factor of the dilation.

Step1: Recall dilation scale factor formula

The scale factor \( k \) of a dilation is given by \( k=\frac{\text{Coordinate of image point}}{\text{Coordinate of original point}} \) (for the same coordinate component, since it's a dilation, we can use the x - coordinate here as the y - coordinates are both 0).

Step2: Calculate the scale factor

For the x - coordinate of point \( G(-2,0) \) and its image \( G'(-10,0) \), the scale factor \( k=\frac{- 10}{-2} \)
Simplifying \( \frac{-10}{-2}=5 \)

Answer:

The scale factor of the dilation is 5.