Question

Help me this this!!!!!!

Answer 1

The Proof is given below.

The correct option is C

By AAS test Postulate. Δ ABD ≅ Δ CDB

Explanation:

Given:

∠ A ≅ ∠ C

AB || DC

To Prove:

Δ ABD ≅ Δ CDB

Proof:

In Δ ABD and Δ CDB

1. ∠ A ≅ ∠ C ……….{GIVEN}

2. ∠ ABD ≅ ∠ CDB …{if lines are parallel then alternate interior angle are equal}

3. BD ≅ BD ……….{ Reflexive property }

4. Δ ABD ≅ Δ CDB ….{Angle-Angle-Side test}