1. 8.5 Trapezoids & Kites January 14, 2013
Be
llw
or
k
Jan 510:46 AM
HW pg. 546 #426 evens 1
2. 8.5 Trapezoids & Kites January 14, 2013
8.5 Trapezoids and Kites
Trapezoid: quad w/ exactly 1 pair of // sides AKAbases,
2 pairs of base <s, & 2 non // sidesAKA
legs
base
leg leg
base
Jan 511:28 AM
HW pg. 546 #426 evens 2
3. 8.5 Trapezoids & Kites January 14, 2013
Isosceles Trapezoid:
Definition: Theorem 8.14:
legs are ≅ each pair of base <s is ≅
Theorem 8.15 Theorem 8.16
@ least 1 pair of ≅ base <s iff diagonals are ≅
Jan 610:43 AM
HW pg. 546 #426 evens 3
4. 8.5 Trapezoids & Kites January 14, 2013
Midsegments
connects the midpoints of its legs
Theorem 8.17: A B
Midsegement of a trapezoid is... M N
* // to each base C D
* 1/2 (sum of both bases) MN = 1/2 (AB + CD)
Jan 611:46 AM
HW pg. 546 #426 evens 4
5. 8.5 Trapezoids & Kites January 14, 2013
Kites
A quadrilateral that has 2 pairs of consecutive ≅ sides
BUT NOT opp sides.
≅
Theorem 8.18: Theorem 8.19
its diagonals are exactly 1 pair of opp. <s are ≅
Jan 61:07 PM
HW pg. 546 #426 evens 5