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