Question

the image of parallelogram pqrs after a reflection across wy is parallelogram pqrs. rr = 12. what is the length of rz? 3 6 12 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. Here, $\overleftrightarrow{WY}$ is the line of reflection and $RR'$ is the segment joining point $R$ and its image $R'$. So, the line $\overleftrightarrow{WY}$ bisects $RR'$.

Step2: Calculate length of $RZ$

If a line bisects a segment, it divides the segment into two equal parts. Given $RR' = 12$, and $RZ=\frac{1}{2}RR'$. So, $RZ=\frac{12}{2}=6$.

Answer:

6