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zlopas [31]
3 years ago
15

Given: AD = BC and AD || BC Prove: ABCD is a parallelogram.

Mathematics
2 answers:
maksim [4K]3 years ago
5 0

Answer:

ABCD is a parallelogram

Step-by-step explanation:

Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a

parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC

1. given 2. ∠CAD and ∠ACB are alternate interior ∠s 2.

definition of alternate interior angles 3. ∠CAD ≅ ∠ACB 3.

alternate interior angles are congruent 4. AC ≅ AC 4.

reflexive property 5. △CAD ≅ △ACB 5. SAS congruency

theorem 6. AB ≅ CD 6. ? 7. ABCD is a parallelogram 7.

Katen [24]3 years ago
4 0

Answer:

Step-by-step explanation:

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