Question

figure pqrs is a reflection of figure wxyz. figure jklm is a translation of figure wxyz. part a which angles of the transformed figures have the same measure as ∠y in figure wxyz? explain your reasoning. solution _____________ part b in figure wxyz, wx is parallel to yz. in figure jklm, is jk parallel to ml? explain your reasoning.

Explanation:

Step1: Recall transformation properties

Both reflection and translation are rigid - motions. Rigid - motions preserve angle measures.

Step2: Identify corresponding angles

In the reflected and translated figures, all the corresponding angles to ∠V in the original figure have the same measure as ∠V because rigid - motions do not change the shape or size of the figure in terms of angle measures.

Step3: Recall parallel - line property in rigid - motions

Parallel lines in the original figure remain parallel in the translated and reflected figures. Since in figure WXYZ, WX is parallel to YZ, in the translated figure, the corresponding sides will also be parallel.

Answer:

PART A: All corresponding angles to ∠V in the reflected and translated figures have the same measure as ∠V because reflection and translation are rigid - motions that preserve angle measures.
PART B: Yes, the corresponding sides in the translated figure are parallel. This is because translation is a rigid - motion that preserves parallelism.