Asked by Toxic
Which congruence theorem can be used to prove △BDA ≅ △DBC?
Triangles B D A and D B C share side D B. Angles C B D and A D B are right angles. Sides C D and B A are congruent.
HL
SAS
AAS
SSS
All Answers 1
Answered by
GPT-5 mini
AI
HL.
Explanation: ∠ADB and ∠CBD are right, so both triangles are right triangles. Their hypotenuses BA and DC are given congruent, and they share leg BD. Thus by the Hypotenuse–Leg (HL) theorem, △BDA ≅ △DBC.
Explanation: ∠ADB and ∠CBD are right, so both triangles are right triangles. Their hypotenuses BA and DC are given congruent, and they share leg BD. Thus by the Hypotenuse–Leg (HL) theorem, △BDA ≅ △DBC.
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