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larisa86 [58]
3 years ago
5

What are the missing statement and reason in step 2 of the proof? Statement: ∠ABC ≅ ∠BCD, ∠BAD ≅ ∠ADC Reason: For parallel lines

cut by a transversal, corresponding angles are congruent. Statement: ΔABC ≅ ΔCDA Reason: SSS criterion for congruence Statement: AB ≅ CD, BC ≅ AD Reason: given Statement: AB ∥ CD, BC ∥ AD Reason: definition of a parallelogram Statement: ∠BAC ≅ ∠ACD Reason: Alternate Interior Angles Theorem
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0

Answer:

Statement: AB=CD, BC=AD

Reason: By definition of parallelogram .

Statement: AC=AC

Reason: Reflexive property of equality.

Step-by-step explanation:

1.Statement: \angle ABC\cong \angle BCD,\angle BAD\cong \angle ADC.

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: \triangle ABC\cong \triangle CDA.

Reason: SSS criterion for congruence.

5.Statement:AB\cong CD, BC\cong AD.

Reason: Given .

6.Statement: AB\parallel CD, BC\parallel AD.

Reason: By definition of parallelogram.

7.Statement: \angle BAC\cong \angle ACD.

Reason: Alternate Interior Angles Theorem.

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