the image of parallelogram pqrs after a reflection across wy is parallelogram pqrs. rr = 12. what is the…

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

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

Answer

Answer:

B. 6

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, line (WY) is the line of reflection and (RR') is the segment joining point (R) and its image (R').

Step2: Use mid - point property

Since the line of reflection (WY) bisects (RR'), if (RR' = 12), and (Z) is the mid - point of (RR'), then (RZ=\frac{RR'}{2}).

Step3: Calculate (RZ)

(RZ=\frac{12}{2}=6).