Question

1. the segment below is dilated by a scale factor of 3 to form $overline{xy}$. what is the measure of $overline{xy}$?

Explanation:

Step1: Recall dilation property

When a segment is dilated, new length = original length × scale factor.
Let the length of $\overline{XY}$ be $l$. Then the length of $\overline{X'Y'}=l\times3$.
Since no length of $\overline{XY}$ is given, assume the length of $\overline{XY}$ is $x$.

Step2: Calculate length of $\overline{X'Y'}$

$\overline{X'Y'}=3x$

Answer:

The measure of $\overline{X'Y'}$ is 3 times the measure of $\overline{XY}$.