Question

explore the properties of rotation by following these steps. vertices connected to the center of rotation. use the protractor to measure it. m∠apa = 90 4. the exact m∠apa is 90°. how does this compare with the conjecture you made in step 2? they are equal. 5. use the protractor to measure this angle: m∠bpb =

Explanation:

Step1: Recall rotation property

In a rotation, the angles formed by corresponding - vertices and the center of rotation are equal.

Step2: Apply the property

Since \(\triangle ABC\) is rotated about point \(P\) to get \(\triangle A'B'C'\), and \(m\angle APA' = 90^{\circ}\), then \(m\angle BPB'\) will also be \(90^{\circ}\) because of the properties of rotation.

Answer:

\(90\)