Question

the diagram below shows the function $r_{\ell}(\overline{sv})$. point g lies on $\overline{vv}$ and point m lies on $\overline{ss}$. use the diagram to answer the remaining questions. the measure of line segment $sv$ is equal to the measure of line segment the measure of line segment $sm$ is equal to the measure of line segment the measure of line segment $vg$ is equal to the measure of line segment line gm is perpendicular to $\overline{ss}$ and $\overline{vv}$.

Explanation:

Step1: Recall reflection property

In a reflection, the pre - image and the image are congruent. So, the distance between corresponding points is equal.

Step2: First blank

Since reflection preserves distances, the measure of line segment $S'V'$ is equal to the measure of line segment $SV$.

Step3: Second blank

The measure of line segment $S'M$ is equal to the measure of line segment $SM$ as point $M$ lies on the line of reflection and reflection preserves distances from points to the line of reflection for non - corresponding points in this context.

Step4: Third blank

The measure of line segment $V'G$ is equal to the measure of line segment $VG$ because of the congruence of pre - image and image in a reflection.

Answer:

1. $SV$
2. $SM$
3. $VG$