Question

Polygon ABCDE rotates 52º about the origin to create polygon

A′B′C′D′E′. If m< BCD = 31º, what is m< B' C' D' ?

Answer 1

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Answer 2

31°

Explanation:

Rotations about the origin are rigid transformations, meaning that they preserve segment length and angle measure. Therefore, since ∠BCD and ∠B'C'D' are corresponding angles, we know that m∠BCD ≅ m∠B'C'D' = 31°.