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## 6.2 Properties of Parallelograms

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**6.2 Properties of Parallelograms**Textbook pg 310**Definition: A Parallelogram is a quadrilateral where BOTH**pairs of opposite sides are parallel • In PQRS, PQ SR and QR PS P Q R S**Theorem: If a quadrilateral is a parallelogram, then its**opposite sides are congruent • In PQRS, PQ = SR and QR = PS P Q R S**Theorem: If a quadrilateral is a parallelogram, then its**opposite angles are congruent • In PQRS, <P = <R and <Q = <S P Q R S**Theorem: If a quadrilateral is a parallelogram, then its**consecutive angles are supplementary • In PQRS, xo + yo = 180o 180o P Q xo yo 180o 180o yo xo R S 180o**Theorem: If a quadrilateral is a parallelogram, then**diagonals bisect each other • In PQRS, QM = MS and PM = MR 180o P Q 180o M 180o R S 180o**Practice**• Assignment # • Textbook page 313 • Problems 1-12 all, 13-33 odd, 44 – 53 all