Question

In the dilation of line segment AB to create line segment A’B’ using point Q as the center of dilation, which factor determines the length of A’B’ relative to AB?

A) The distance between point Q and the midpoint of AB.

B) The scale factor of dilation.

C) The coordinates of points A and B.

D) The slope of line segment AB.

Answer 1

The factor that determines the length of A'B' relative to AB in the dilation is the scale factor of dilation.

Step-by-step explanation:

The factor that determines the length of A'B' relative to AB in the dilation is the scale factor of dilation (B). The scale factor is a ratio that compares the lengths of the corresponding sides of the dilated image to the original figure. If the scale factor is greater than 1, the dilated image will be larger than the original figure. If the scale factor is between 0 and 1, the dilated image will be smaller than the original figure.