Question

A triangle is dilated with the center of dilation at point U. Point E is a vertex of the triangle and point E ′ E' is the corresponding vertex of the image. If UE = 2 centimeters and U ′ E ′ = 10 U'E'=10 centimeters, what is the scale factor?

Answer 1

Answer:
`scale\ factor=5`

Explanation:

By definition, a Dilation is a transformation in which the image has the same shape as the pre-image but size changes.

The center of dilation is a fixed point in the plane, and the scale factor is the ratio of the corresponding sides of the image to the pre-image.

Based on the information provided in the exercise, you know that:

`UE = 2\ cm\\\\U'E'=10\ cm`

Thererefore, you can determine that the scale factor is:

`scale\ factor=(10\ cm)/(2\ cm)\\\\scale\ factor=5`