the image of parallelogram pqrs after a reflection across $overleftrightarrow{wy}$ is parallelogram pqrs…
the image of parallelogram pqrs after a reflection across $overleftrightarrow{wy}$ is parallelogram pqrs. $rr = 12$. what is the length of rz? 3 6 12 18
Answer
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, $Z$ is the mid - point of $RR'$.
Step2: Use mid - point formula
If $Z$ is the mid - point of $RR'$, then $RZ=\frac{1}{2}RR'$. Given $RR' = 12$, so $RZ=\frac{12}{2}$.
Answer:
6