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 $R'$.

Step2: Use the property of perpendicular - bisector

If a line is the perpendicular - bisector of a segment, it divides the segment into two equal parts. So, if $RR' = 12$, then $RZ=\frac{RR'}{2}$.

Step3: Calculate the length of $RZ$

$RZ=\frac{12}{2}=6$

Answer:

6