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Which statements can be used to prove that ABC and A’B’C are congruent?

Which statements can be used to prove that ABC and A’B’C are congruent?-example-1
User Ihor Lavs
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1 Answer

2 votes

Answer:

O A.

Explanation:

Option A identifies two angles (sufficient for similarity) and one side, sufficient (with similarity) for congruence. The applicable congruence theorem is AAS.

Option B identifies two sides and the angle not between them. The two triangles will be congruent in that case only if the angle is opposite the longest side, which is not true in general.

Option C same deal as Option A.

Option D identifies three congruent angles, which will prove the triangles similar, but not necessarily congruent.

User Kagmole
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