Question

What is the error in Nick's proof? He uses the SAS postulate instead of AAS postulate to prove the triangles congruent. He assumes that AP = PB because P is the vertex of the equilateral triangle. He uses the SAS postulate instead of SSS postulate to prove the triangles congruent. He writes the measure of angles ADP and BCP as 30° instead of 45°.

Answer 1

I believe the first statement's justification is incorrect - AP=PB because P is the vertex of the equilateral triangle. P is a vertex of the equilateral triangle DPC, and has nothing to do with AP and PB.