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Geometry 8.5 121.notebook January 21, 2014 IDs on. Flowcharts out. Please. Due TOGETHER Tomorrow: 8.4 Workbook 124 all PLUS 8.5 Homework today which is out the book. True or False Questions for Review. Feb 91:33 PM Announcements IDs Today is going to be a information filled day Feb 91:35 PM 1 Geometry 8.5 121.notebook January 21, 2014 Section 8.5 Properties of Trapezoids and Kites Feb 91:35 PM Quadrilateral Trapezoid Feb 91:42 PM 2 Geometry 8.5 121.notebook January 21, 2014 Trapezoid Trapezoids have one pair of opposite sides parallel. Feb 91:45 PM base B leg C leg A base Trapezoid D • The opposite sides that are parallel are called the bases. • The nonparallel sides are the legs of the trapezoid. • A trapezoid has two pairs of base angles. Feb 91:50 PM 3 Geometry 8.5 121.notebook January 21, 2014 Quadrilateral Trapezoid Isosceles Trapezoid Feb 91:54 PM Isosceles Trapezoid A trapezoid that has congruent legs. • Each pair of base angles are congruent. • The diagonals are congruent. • Opposite angles are supplementary Feb 91:56 PM 4 Geometry 8.5 121.notebook January 21, 2014 We Do Find m F, m G, m H. F J 110 H G Feb 93:15 PM Midsegment Theorem for Trapezoids The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases. A MN = 1 (AB + CD) 2 M D B N C Feb 91:59 PM 5 Geometry 8.5 121.notebook January 21, 2014 We Do In the diagram, HK is the midsegment of trapezoid DEFG. Find HK. 6cm D H E K 18 cm G F Feb 92:47 PM We Do Find the value of x. 2x M 17.1 N 8x + 3.2 Feb 93:09 PM 6 Geometry 8.5 121.notebook January 21, 2014 Quadrilateral Kite Trapezoid Feb 92:13 PM Kite A kite has two pairs of consecutive congruent sides, but opposite sides are not congruent. Feb 92:17 PM 7 Geometry 8.5 121.notebook January 21, 2014 • Diagonals are perpendicular. • Exactly one pair of opposite angles are congruent. Feb 92:18 PM We Do Find the m C in the kite shown. D 140 C A 84 B Feb 92:57 PM 8 Geometry 8.5 121.notebook January 21, 2014 Assignment Pg. 546 #'s 7 11, 13 16, 25 27 (trapezoids) #'s 12, 17 20, 21 23 (kites) Due Tomorrow: This textbook assignment stapled to the back of your 8.4 WB assignment from Monday. Feb 92:28 PM Homework Help Jan 177:56 AM 9 Geometry 8.5 121.notebook January 21, 2014 Jan 189:38 PM Jan 189:38 PM 10 Geometry 8.5 121.notebook January 21, 2014 Jan 189:38 PM Jan 189:39 PM 11