Question

answer the question below. type your response in the space provided. polygon abcde rotates 52° about the origin to create polygon abcde. if m∠bcd = 31°, what is m∠bcd?

Explanation:

Step1: Recall the property of rotation

Rotation is a rigid transformation. Rigid transformations (rotations, translations, reflections) preserve the shape and size of a figure. This means that corresponding angles and side - lengths of the pre - image and the image are equal.

Step2: Identify the corresponding angles

In polygon \(ABCDE\) and its rotated image \(A'B'C'D'E'\), \(\angle BCD\) and \(\angle B'C'D'\) are corresponding angles.

Answer:

\(31^{\circ}\)