8.2 Use Properties of Parallelograms

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Presentation transcript:

8.2 Use Properties of Parallelograms

Theorem 8.3 If a quadrilateral is a parallelogram, then its opposite sides are congruent. If PQRS is a parallelogram, then PQ ≌ RS and QR ≌ PS. Q R P S

Theorem 8.4 If a quadrilateral is a parallelogram, then its opposite angles are congruent. If PQRS is a parallelogram, then ⦟𝑃 ≌⦟𝑅 and ⦟Q ≅⦟𝑆. Q R P S

Theorem 8.5 If a quadrilateral is a parallelogram, then its consecutive angles are supplementary. If PQRS is a parallelogram, then 𝑥° +𝑦° =180°. Q R x° y° y° x° P S

Theorem 8.6 If a quadrilateral is a parallelogram, then its diagonals bisect each other. Q R M P S 𝑄𝑀≅𝑆𝑀 𝑎𝑛𝑑 𝑃𝑀≅𝑅𝑀

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