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explore the properties of rotation by following these steps. 4. the exa…

Question

explore the properties of rotation by following these steps.

  1. the exact m∠apa is 90°. how does this compare with the conjecture you made in step 2?
  2. use the protractor to measure this angle: m∠bpb = 90°
  3. use the protractor to measure this angle: m∠cpc =

Explanation:

Step1: Recall rotation property

In a rotation, the angle of rotation is the same for all corresponding points about the center of rotation.

Step2: Analyze given angles

Since \(m\angle APA' = 90^{\circ}\) and \(m\angle BPB'=90^{\circ}\), and the rotation is centered at \(P\), for corresponding - point \(C\) and \(C'\), \(m\angle CPC'\) will also be equal to the angle of rotation.

Answer:

90