Lesson 6-1: Parallelogram Parallelograms Lesson 6-1: Parallelogram

Lesson 6-1: Parallelogram Definition: A quadrilateral whose opposite sides are parallel. C B A D Symbol: a smaller version of a parallelogram Naming: A parallelogram is named using all four vertices. You can start from any one vertex, but you must continue in a clockwise or counterclockwise direction. For example, the figure above can be either ABCD or ADCB. Lesson 6-1: Parallelogram

Properties of Parallelogram B Properties of Parallelogram P D C 1. Both pairs of opposite sides are congruent. 2. Both pairs of opposite angles are congruent. 3. Consecutive angles are supplementary. 4. Diagonals bisect each other but are not congruent P is the midpoint of . Lesson 6-1: Parallelogram

Lesson 6-1: Parallelogram H K Examples M P L Draw HKLP. HK = _______ and HP = ________ . m<K = m<______ . m<L + m<______ = 180. If m<P = 65, then m<H = ____,m<K = ______ and m<L =____. Draw the diagonals with their point of intersection labeled 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° 115° 65 5 units 14 units 7.5 units 36; (Alternate interior angles are congruent.) Lesson 6-1: Parallelogram