Question

the image of parallelogram pqrs after a reflection across $overleftrightarrow{wy}$ is parallelogram pqrs. $rr = 12$. what is the length of rz? $\bigcirc$ 3 $\bigcirc$ 6 $\bigcirc$ 12 $\bigcirc$ 18

Explanation:

Step1: Recall reflection property

In a reflection, the line of reflection is the perpendicular bisector of the segment joining a point and its image. So, \( Z \) is the midpoint of \( RR' \).

Step2: Calculate \( RZ \)

Since \( Z \) is the midpoint, \( RZ=\frac{1}{2}RR' \). Given \( RR' = 12 \), then \( RZ=\frac{1}{2}\times12 = 6 \).

Answer:

6