Q:

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

Accepted Solution

A:
Answer:Statement: AB=CD, BC=ADReason: By definition of parallelogram .Statement: AC=ACReason: Reflexive property of equality.Step-by-step explanation:1.Statement: [tex]\angle ABC\cong \angle BCD,\angle BAD\cong \angle ADC[/tex].Reason: For parallel lines cut by a transversal , corresponding angles are congruent.2.Statement:AB=CD,BC=ADReason: By definition of parallelogram.3.Statement: AC=ACReason: Reflexive property of equality.4.Statement: [tex]\triangle ABC\cong \triangle CDA[/tex].Reason: SSS criterion for congruence.5.Statement:[tex] AB\cong CD, BC\cong AD[/tex].Reason: Given .6.Statement: [tex] AB\parallel CD, BC\parallel AD[/tex].Reason: By definition of parallelogram.7.Statement: [tex]\angle BAC\cong \angle ACD[/tex].Reason: Alternate Interior Angles Theorem.