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}
