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Parallelograms

Parallelograms. B. C. D. A. Parallelogram. A quadrilateral whose opposite sides are parallel. B. C. D. A. Properties of Parallelograms. Opposite sides are congruent. B. C. D. A. Properties of Parallelograms. Opposite angles are congruent. B. C. D. A.

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Parallelograms

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  1. Parallelograms

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

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

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

  5. B C D A Properties of Parallelograms Consecutive angles are supplementary

  6. B C D A Properties of Parallelograms Diagonals bisect each other

  7. Properties of Parallelograms

  8. H K Examples M P L • 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;

  9. hOMEWORK

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