Respuesta :

Answer:

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

Step-by-step explanation:

Given:

AD ≅ BC and AD || BC

To Prove:

ABCD is a Parallelogram

Proof:

Alternate Interior Angles Theorem :

"When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Here AD || BC and the transversal is AC

  Statement               Reasons

1. AD ≅ BC  .           1. Given

2. AD || BC              2. Given

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.