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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. 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
Expert Solution
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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