Monday, November 20, 2006

notes 6-5 (6-6 and 6-7 are on the poster sheet)

6.5: Trapeziods and Kites
Trapeziod: Quad with exactly one pair of || sides, called the bases. This creates 2 pairs of base angles. Non-|| sides are called legs. If those legs are cong, it is an isosceles trapezoid.
Midsegment: connects the midpoints of the legs

Theorems:
6.14: If a trap is isosceles, then each pair of base angles is cong
6.15: If a trap has a pair of cong base angles, then it is an isos trap
6.16: A trap is isos. If and only if its diagonals are cong.
6.17: Midsegment Theorem for Trapezoids: The midsegment of a trapezoid is || to each base and its length is one half the sum of the lengths of the bases.

Kites: quad with 2 pairs of consecustive cong sides, but opp sides are NOT cong

Theorems for Kites:
6.18: If a quad if a kite, then its diagonals are perpendicular
6.19: If a quad if a kite, then exactly on pair of opposite angles are cong.

Guided prac pg 359

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