Question

In this figure triangle BAE is congruent to triangle DEA. Which statement is true by CPCTC?

Answer 1

The correct answer is the last option

Answer 2

Answer: ∠BAF≅∠DEF

Explanation:

In the given figure triangle BAE is congruent to triangle DEA i.e. ΔBAE ≅ ΔDEA.

We know that if two triangles are congruent then their corresponding angles are congruent.

Since, ΔBAE ≅ ΔDEA, the by CPCTC [congruent parts of congruent triangles are congruent]

∠BAE≅∠DEA

Since F is a point on AE

So, ∠BAE≅∠DEA

⇒ ∠BAF≅∠DEF