Question

Given △ABC and △DEF, where ∠A ≅ ∠D, ∠B ≅ ∠E, and BC ≅ EF, prove that △ABC ≅ △DEF using the Angle-Side-Angle (ASA) postulate.

Options:
A) Show that ∠C ≅ ∠F
B) Prove that AB ≅ DE
C) Verify that ∠A ≅ ∠D, ∠B ≅ ∠E, and BC ≅ EF
D) Demonstrate that ∠B ≅ ∠E and AB ≅ DE

Answer 1

To prove that △ABC is congruent to △DEF using the ASA postulate, we need to show that ∠A ≅ ∠D, ∠B ≅ ∠E, and BC ≅ EF. By stating the given information and using the ASA postulate, we can conclude that △ABC ≅ △DEF.

Step-by-step explanation:

The question is asking to prove that △ABC is congruent to △DEF using the Angle-Side-Angle (ASA) postulate. To do this, we need to show that ∠A ≅ ∠D, ∠B ≅ ∠E, and BC ≅ EF.

1. Start by stating the given information: ∠A ≅ ∠D, ∠B ≅ ∠E, and BC ≅ EF.

2. Using the ASA postulate, we can conclude that △ABC ≅ △DEF because we have two pairs of congruent angles (∠A ≅ ∠D, ∠B ≅ ∠E) and a pair of congruent sides (BC ≅ EF).