8.5 notes

Bellwork

8.5 Trapezoids and Kites

Trapezoid: quad w/ exactly 1 pair of // sides AKA bases, 2 pairs of base <s, & 2 non // sides AKA legs

base

base

legleg

Definition:legs are ≅

Theorem 8.14:each pair of base <s is ≅

Isosceles Trapezoid:

Theorem 8.16iff diagonals are ≅

Theorem 8.15@ least 1 pair of ≅ base <s

Midsegmentsconnects the midpoints of its legs

Theorem 8.17:Midsegement of a trapezoid is...

* // to each base* 1/2 (sum of both bases)

M N

DC

BA

MN = 1/2 (AB + CD)

KitesA quadrilateral that has 2 pairs of consecutive ≅ sides

BUT NOT≅ opp sides.

Theorem 8.18:its diagonals are

Theorem 8.19exactly 1 pair of opp. <s are ≅

HW pg. 546 #4-26 evens