#### theorem

**Theorem:** A quadrilateral is a parallelogram if a pair of opposite sides is equal and parallel.

In above fig. which is AB = CD and AB || CD . Let us draw a diagonal AC. You can show that ∆ ABC ≅ ∆ CDA by SAS congruence rule. So , BC || AD .

#### Shaalaa.com | Theorem : A quadrilateral is a parallelogram if a pair of opposite sides is equal and parallel.

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