Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

25/26 geometry a reflections the image of parallelogram pqrs after a re…

Question

25/26 geometry a reflections the image of parallelogram pqrs after a reflection across wy is parallelogram pqrs. rr = 12. what is the length of rz?

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, if \(RR' = 12\) and the line \(WY\) is the line of reflection, then \(RZ=\frac{1}{2}RR'\).

Step2: Calculate length of \(RZ\)

Since \(RR' = 12\), then \(RZ=\frac{12}{2}=6\).

Answer:

6