Question

Similarity, Proportion, and Triangle Proofs:

Question 5
Because both AABC and AADB are right triangles, ABC and ADB are congruent. Can you identify another pair of congruent angles in the two
triangles? Based on these angles, what can you infer about AABC and AADB? Similarly in AABCand ABDC ZABC and BDC are congruent.
Can you identify another pair of congruent angles in ABCand ABDC? How can you use your observations to relate AABCand ABDC?

Answer 1

Answer: ∠BAC in △ABC and ∠DAB in △ADB are congruent because they both have the same measure, so △ABC∼△ADB based on the AA criterion for similarity. Likewise, ∠ACB in △A

BC and ∠BCD in △BDC are congruent because they both have the same measure. I can also say that △A⁢BC∼△BDc based on the AA criterion for similarity.

Explanation:

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