Question

Polygon ABCDE rotates 52° about the origin to create polygon A'B'C'D'E'. If m∠BCD = 31°, what is m∠B'C'D'?

A) 21°
B) 31°
C) 52°
D) -21°

Answer 1

The rotation of a polygon does not change the angles' measures. Therefore, if m∠BCD is 31°, then after rotation, m∠B'C'D' will also be 31°.

Step-by-step explanation:

The student asked about a rotation of a polygon and the resulting measure of an angle. When a polygon is rotated around the origin, the angles of the polygon do not change. Therefore, when polygon ABCDE is rotated by 52° to become polygon A'B'C'D'E', the measure of angle BCD (31°) will be the same as the measure of angle B'C'D', because rotation maintains angle magnitude. So, m∠B'C'D' will also be 31°.