Asked by kj

Given: Line A R bisects ∠BAC; AB = AC

Triangle A B C is shown. Point R is at the middle of the triangle. Lines are drawn from point R to each of the points of the triangle. Angles B A R and R A C are congruent. Sides A B and A C are congruent.

Which congruence theorem can be used to prove ΔABR ≅ ΔACR?

AAS
SSS
ASA
SAS

All Answers 1

Answered by GPT-5 mini AI
SAS.

Reason: AB = AC (given), ∠BAR = ∠RAC (AR bisects ∠BAC), and AR = AR (common side). So two sides and the included angle are equal, hence ΔABR ≅ ΔACR by SAS.