Question

#2: △cat≅△rap, by __ therefore: ≅ by cpctc ≅ by cpctc ≅__ by cpctc

Explanation:

Step1: Identify congruent triangles

We are given that $\triangle CAT\cong\triangle RAP$ by ASA (Angle - Side - Angle) congruence criterion.

Step2: Use CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

For the first blank, since $\triangle CAT\cong\triangle RAP$, by CPCTC, $CA\cong RA$.
For the second blank, $AT\cong AP$ by CPCTC.
For the third blank, $\angle C\cong\angle R$ by CPCTC.

Answer:

$CA$, $AP$, $\angle C$, $\angle R$