6.5 Trapezoids and Kites Pg 356. Trapezoids Trapezoid- a quadrilateral with exactly one pair of ll sides. Bases- ll sides Legs- non ll sides Isosceles.

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Presentation transcript:

6.5 Trapezoids and Kites Pg 356

Trapezoids Trapezoid- a quadrilateral with exactly one pair of ll sides. Bases- ll sides Legs- non ll sides Isosceles trapezoid- a trapezoid with  legs Base  s – come in pairs. << leg base __

Thm 6.14 If a trapezoid is an isosceles trapezoid, then it’s base angles (each pair) are  WX Y Z > > __  W   X and  Z   Y

Thm 6.16 If a trapezoid has a pair of  base angles, then it’s an isosceles trapezoid. > > ) (

Thm 6.16 A trapezoid is isosceles iff its diagonals are  A B CD If Seg AC  seg DB, then ABCD is isosceles and if ABCD is isosceles, then seg AC  seg DB.

Midsegments Midsegement of a trapezoid- segment that connects the midpts of the legs. AB C D M N Seg MN is the midseg of ABCD

Thm 6.17 midseg thm for trapezoids The midseg of a trapezoid is ll to the bases and its length is ½ the sum of the base lengths. A B D C MN > > __ > MN || AB || DC and MN = ½ (AB+DC)

Kite Kites- a quad with 2 pairs of consecutive  sides, but opp sides are not  __ __

Thm 6.18 If a quad is a kite then its diagonals are. T _ _ __

Thm 6.19 If a quad is a kite then exactly one pair of opp  ‘s are  X Y Z W )( Always the angles made up of the two non  sides

Assignment