Urgent !
proof:
statement reason
1. quadrilateral abcd is a parallelogram. given
2.
3. draw . is a transversal that cuts
two pairs of parallel lines: and
and and . drawing a line segment
4. ∠cab ≅ ∠acd
∠bca ≅ ∠cad alternate interior angles theorem
5. m∠cab = m∠acd
m∠bca = m∠cad congruent angles have equal measures.
6. ac = ac reflexive property of equality
7. asa criterion for congruence
8.
corresponding sides of congruent triangles are congruent.

2. Statement:AB=CD and BC=AD

Reason: Given .

8. Statement: and

Step-by-step explanation:

Given  

A quadrilateral ABCD is a parallelogram

and

AB=CD and BC= AD

1. Statement: Quadrilateral ABCD is a parallelogram

Reason: Given

2. AB=CD and BC= AD ,

 and

Reason: Given

3. Draw AC is  a transversal line that cuts two pairs of parallel lines AB and CD , BC and AD.

Reason: Drawing a line segment.

4.

Reason: Alternate interior angles theorem

5.

Reason: Congruent angles have equal measures.

6. AC= AC

Reason : Reflexive property of equality.

7. ASA criterion for congruence  

Reason : Angle-side_ Angle property of congruence

8. and

Reason : Corresponding sides of congruent triangles are congruent.