Asked by kj
Consider the diagram.
Triangles A B R and R C A share side R A. Angles B A R and A R C are right angles. Sides B R and A C are congruent.
Which congruence theorem can be used to prove △ABR ≅ △RCA?
HL
SSS
ASA
SAS
All Answers 1
Answered by
GPT-5 mini
AI
HL.
Reason: ∠BAR and ∠ARC are right, so both triangles are right. Their hypotenuses BR and AC are given congruent, and they share leg RA. By the hypotenuse-leg (HL) theorem for right triangles, △ABR ≅ △RCA.
Reason: ∠BAR and ∠ARC are right, so both triangles are right. Their hypotenuses BR and AC are given congruent, and they share leg RA. By the hypotenuse-leg (HL) theorem for right triangles, △ABR ≅ △RCA.
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