Question

What is the missing step in this proof?

A. Statement: ∠4 ≅ ∠5, and ∠1 ≅ ∠3. Reason: Alternate Interior Angles Theorem B. Statement: is parallel to. Reason: is a transversal cutting and.

C. Statement: ∠1 ≅ ∠4, and ∠3 ≅ ∠5. Reason: Alternate Interior Angles Theorem D. Statement: ∠1 ≅ ∠4, and ∠3 ≅ ∠5. Reason: ∠1 and ∠4, and ∠3 and ∠5 are pairs of supplementary angles

Answer 1

Statement: AB=CD, BC=AD

Reason: By definition of parallelogram .

Statement: AC=AC

Reason: Reflexive property of equality.

Explanation:

1.Statement: .

Reason: For parallel lines cut by a transversal , corresponding angles are congruent.

2.Statement:AB=CD,BC=AD

Reason: By definition of parallelogram.

3.Statement: AC=AC

Reason: Reflexive property of equality.

4.Statement: .

Reason: SSS criterion for congruence.

5.Statement:.

Reason: Given .

6.Statement: .

Reason: By definition of parallelogram.

7.Statement: .

Reason: Alternate Interior Angles Theorem.