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 angle of rotation is the same for all points around the center of rotation. Since \(m\angle APA' = 90^{\circ}\), and \(\triangle ABC\) is rotated about point \(P\) to \(\triangle A'B'C'\), the angle of rotation for all vertices around \(P\) is the same.

Step2: Determine \(m\angle BPB'\)

So, \(m\angle BPB'=90^{\circ}\) as well.

Answer:

\(90\)