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Polygon ABCDE rotates 52° about the origin to create polygon
A'B'C'D'E. If mZBCD = 31°, what is mZBICIDI?
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Answer: 31 degrees

This is because rotations preserve angles. The angle measures won't change. That's why angle BCD is the same as angle B'C'D'. This applies to any rotation (regardless how much you rotate), any translation, any reflection, and any dilation.

Note: dilations will change the side lengths

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