MATH SOLVE

4 months ago

Q:
# WILL MARK BRAINLYIST!Which postulate or theorem proves that △RMN and △QPN are congruent? A. AAS Congruence Theorem B. SSS Congruence Postulate C. ASA Congruence Postulate D. SAS Congruence Postulate

Accepted Solution

A:

Answer: C. ASA Congruence Postulate proves that △RMN and △QPN are congruent.Given: △RMN and △QPN where RN=NQ and ∠R=∠QTo prove: △RMN ≅△QPNProof:- In △RMN and △QPN∠R=∠Q............[given]RN=NQ............[given]∠RNM=∠PNQ............[vertically opposite angles]∴△RMN ≅△QPN [by ASA Congruence Postulate ]Therefore,C. is the right answer. ASA Congruence Postulate proves that △RMN and △QPN are congruent.ASA Congruence Postulate states that is two angles and the included side is equal to the two angles and the included side of the other triangle, then the triangles are said to be congruent.