Which Statement Proves That Pqrs Is a Parallelogram?

To prove that PQRS is a parallelogram, we will check that side PQ is parallel to SR and that QR is parallel to PS. These slopes are the same; therefore, the lines PQ and SR are parallel.

How to prove that PQRS is a parallelogram?

If PQRS is a parallelogram, then — PQ ≅ — RS and — QR ≅ — SP . If a quadrilateral is a parallelogram, then its opposite angles are congruent. If PQRS is a parallelogram, then ∠P ≅ ∠R and ∠Q ≅ ∠S.

Is PQRS a parallelogram?

PARALLELOGRAM: A quadrilateral with both pairs of opposite sides parallel. PQRS is a parallelogram.