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Triangle Congruence and Inequalities 1
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Result
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Read each situation. Click yes if you can prove that two triangles satisfying the given condition are congruent; otherwise, click no.

1. All three pairs of corresponding angles are congruent.
Yes
No
Answer: No; AAA is not a congruence theorem but a similarity theorem.
2. All three pairs of corresponding sides are congruent.
Yes
No
Answer: Yes
3. Two pairs of corresponding sides and a pair of corresponding angles are congruent.
Yes
No
Answer: No; the angles must be included between the sides.
4. Two pairs of corresponding angles and a pair of corresponding sides are congruent.
Yes
No
Answer: Yes
5. Two pairs of corresponding angles and a pair of corresponding included sides are congruent.
Yes
No
Answer: Yes
6. Two pairs of corresponding sides and a pair of corresponding included angles are congruent.
Yes
No
Answer: Yes
7. All pairs of corresponding legs are congruent.
Yes
No
Answer: Yes
8. All pairs of corresponding acute angles are congruent.
Yes
No
Answer: No; this condition is a criteria for similarity and not for congruence.
9. A pair of corresponding legs and the pair of corresponding hypotenuses are congruent.
Yes
No
Answer: Yes
10. A pair of corresponding legs and a pair of acute angles are congruent.
Yes
No
Answer: Yes
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