Final answer:
To complete a triangle congruence proof, gain proof of two triangles being congruent through certain postulates. Once congruence is established, you can declare corresponding parts are congruent thanks to CPCTC.
Step-by-step explanation:
Completing a proof in triangle congruence typically involves proving that two triangles are congruent (exactly identical in terms of size and shape) through postulates such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS). The Corresponding Parts of Congruent Triangles are Congruent (CPCTC) phrase often applies after proving that two triangles are congruent, showing that all corresponding sides and angles are also congruent.
For example, let’s imagine that with two given triangles ABC and DEF, we have AB = DE, BC = EF, and ∠B = ∠E. Using the SAS postulate, triangle ABC is congruent to triangle DEF. By CPCTC, ∠A = ∠D, ∠C = ∠F, and AC = DF.
Learn more about Triangle Congruence Proofs