Question

Help me this this!!!!!!

Answer 1

Answer:

The Proof is given below.

The correct option is C

By AAS test Postulate. Δ ABD ≅ Δ CDB

Step-by-step 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}