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If δABC≅δFDE, which of the following statements is true?

a. ∠A≅∠E
b. ∠B≅∠F
c. ∠A≅∠D
d. ∠B≅∠D

User Eli Waxman
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1 Answer

3 votes

Final answer:

The correct statement for congruent triangles ΔABC and ΔFDE is that ∠A is congruent to ∠D, which corresponds to option (c).

Step-by-step explanation:

If ΔABC ≅ ΔFDE, which means triangle ABC is congruent to triangle FDE, the correct statement about the corresponding angles of the congruent triangles would be that ∠A is congruent to ∠D. When stating that two triangles are congruent, it means that all corresponding sides and angles are equal. Therefore, the corresponding angles would be ∠A ≅ ∠F, ∠B ≅ ∠D, and ∠C ≅ ∠E. This logically leads to the conclusion that option c. ∠A≅∠D is true.

If δABC is congruent to δFDE, then the corresponding angles of the two triangles are congruent. So, the correct statement is: ∠A ≅ ∠E.

User Anejah Daniels
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