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GEOMETRY PLS HELP

If ΔABC ≅ ΔFDE, which of the following statements is true?

∠A ≅ ∠F

∠B ≅ ∠F

∠A ≅ ∠D

∠B ≅ ∠E

User Husni
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1 Answer

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Final answer:

The true statement when ∆ABC ≅ ∆FDE is that ∠A ≅ ∠F, which follows from the convention that corresponding angles in congruent triangles are equal.

Step-by-step explanation:

If ∆ABC ≅ ∆FDE, this means that triangle ABC is congruent to triangle FDE. Congruent triangles have all corresponding sides and angles equal. Therefore, the statement that is true would be ∠A ≅ ∠F, as usually, the order of the letters in the naming of the triangles indicates which angles correspond. This is derived from the fact that the first letter in each triangle's name refers to the congruent angles.

It is important to note that the corresponding parts of congruent triangles (CPCTC) are always congruent. Thus, if ∆ABC ≅ ∆FDE, then the angles at A and F, B and D, and C and E would be congruent respectively.

User Sergey Reutskiy
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