Bell Ringer Isosceles Trapezoid KITETrapezoid. sometimes always never always.

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Presentation transcript:

Bell Ringer Isosceles Trapezoid KITETrapezoid

sometimes always never always

Parallelogram 3 Definition:A quadrilateral whose opposite sides are parallel. 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. C B A D

Parallelogram 5 Properties of Parallelogram 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. AB CD P

Lesson 6-1: Parallelogram 6 Examples H K L P PLKL P P or K 115° 65  115° M 5 units 14 units 7.5 units 36  ; (Alternate interior angles are congruent.) 1.Draw HKLP. 2.HK = _______ and HP = ________. 3.m<K = m<______. 4.m<L + m<______ = 180 . 5.If m<P = 65 , then m<H = ____,m<K = ______ and m<L =____. 6.Draw the diagonals with their point of intersection labeled M. 7.If HM = 5, then ML = ____. 8.If KM = 7, then KP = ____. 9.If HL = 15, then ML = ____. 10.If m<HPK = 36 , then m<PKL = _____.

Lesson 2.17: Trapezoid & Kites 7 The median of a trapezoid is the segment that joins the midpoints of the legs. The median of a trapezoid is parallel to the bases, and its measure is one-half the sum of the measures of the bases. Median Median of a Trapezoid

Find the length of the median. Find the value of x.

Homework Pg. 154 #