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.
Reason: Both triangles are right (∠ADB and ∠CBD are 90°). Their hypotenuses BA and CD are congruent and they share leg DB, so by the Hypotenuse–Leg (HL) theorem the right triangles BDA and DBC are congruent.
Reason: Both triangles are right (∠ADB and ∠CBD are 90°). Their hypotenuses BA and CD are congruent and they share leg DB, so by the Hypotenuse–Leg (HL) theorem the right triangles BDA and DBC are congruent.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.