Question

Which of the choices shown could be used to prove that ΔACP≅ΔBCP ?

A) AAA
B) CPCTC
C) SAS
D) SSA

Answer 1

SAS. By using geometric properties, you can figure that two sides and the included angles are congruent. 

Answer 2

SAS could be used to prove that ΔACP ≅ ΔBCP

Solution-

In triangle ACP and triangle BCP,

1. ∠APC ≅ ∠BPC (Given that they both are right angles)
2. AP = BP (Given)
3. CP is common to both the triangles

So, according to the SAS (Side-Angle-Side) congruency ΔACP≅ΔBCP

Therefore, SAS could be used to prove that ΔACP ≅ ΔBCP