Provide an appropriate response.In the figure below, AB = AE, AC = AD and is perpendicular to . Prove that

Question

What will be an ideal response?

Answer 1

Answers will vary. A sample correct response would be as follows.

Since ?ACD is isosceles, we know that m?ACD = m?ADC. Since m?APC = m?APD, we know by AAS that ?ACP ? ?ADP, so CP = DP. Similarly, using AAS, ?ABP ? ?AEP, so BP = EP. It follows (by subtraction) that