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Homework answers / question archive / What are the missing statement and reason in step 2 of the proof? A

What are the missing statement and reason in step 2 of the proof? A

Math

What are the missing statement and reason in step 2 of the proof?

A. Statement: ∠ABC ≅ ∠BCD, ∠BAD ≅ ∠ADC

Reason: For parallel lines cut by a transversal, corresponding angles are congruent.
B. Statement: ∠BAC ≅ ∠ACD Reason: Alternate Interior Angles Theorem
C. Statement: AB ? CD, BC ? AD Reason: definition of a parallelogram
D. Statement: AB ≅ CD, BC ≅ AD Reason: given E. Statement: ΔABC ≅ ΔCDA Reason: SSS criterion for congruence

 

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Answer:

AB=CD, BC=AD

Reason: By definition of parallelogram .

Statement: AC=AC

Reason: Reflexive property of equality.

Step-by-step 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.

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