Parallelograms.

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Presentation transcript:

Parallelograms

A quadrilateral whose opposite sides are parallel. Parallelogram A quadrilateral whose opposite sides are parallel. C B A D

Properties of Parallelograms Opposite sides are congruent. C B A D

Properties of Parallelograms Opposite angles are congruent. C B A D

Properties of Parallelograms Consecutive angles are supplementary C B A D

Properties of Parallelograms Diagonals bisect each other C B A D

Properties of Parallelograms

Examples Draw HKLP. If HK = _______ and HP = ________ . m<K = m<______ . m<L + m<______ = 180. If m<P = 65, then m<H = ____,m<K = ______ and m<L =____. Draw in the diagonals. They intersect at M. If HM = 5, then ML = ____ . If KM = 7, then KP = ____ . If HL = 15, then ML = ____ . If m<HPK = 36, then m<PKL = _____ . PL KL P P or K 115° 65 115° 5 units 14 units 7.5 units alternate interior angles are congruent. 36;

hOMEWORK