1. 6-6 Vocabulary Kite Trapezoid Base of a trapezoid Leg of a trapezoid
Base angle of a trapezoid
Isosceles trapezoid
Midsegment of a trapezoid

2. 6-6 Properties of Kites & Trapezoids
Geometry

3. Kite
Kites- a quad with 2 pairs of sides, but opp sides are __ __ __
__ __

4. Properties of Kites Thm 6-6-1
If a quad is a kite then its diagonals are . T __ __ _ _ __ __

5. Prop. Of Kites Thm 6-6-2 X W ) ( Y
If a quad is a kite then exactly one pair of opp ‘s X W ) ( Y
Always the angles between two non  sides Z

6. Ex. 1
Lucy is framing a kite with wooden dowels. She uses two dowels that measure 18 cm, one dowel that measures 30 cm = JM, & 2 dowels that measure 27 cm. To complete the kite, she needs a dowel to place along KL. She has a dowel that is 36 cm long. About how much wood will she have left over after cutting the last dowel? K
K 18cm
J M M L
3.6 cm
27cm

7. Ex. 2 In kite ABCD, Find each measure. a.) B b.) C c.) A D
a)76 degrees
b)115 degrees
c)63 degrees

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

9. Thm 6-6-3
If a trapezoid is an isosceles trapezoid, then it’s base angles (each pair) are  . W X
> __ __ Z
> Y
X and Y

10. Thm 6-6-4
If a trapezoid has a pair base angles, then it’s an isosceles trapezoid.
> ) (
>

11. Thm 6-6-5
A trapezoid is isosceles iff its diagonals A B
If Seg seg DB, then ABCD is isosceles and if ABCD is isosceles, then seg AC  seg DB. D C

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

13. Ex. 3 A.) Find B 100° C D A B.) KB=21.9 & MF = 32.7. Find FB. F J K M
80 degrees
10.8

14. Ex. 4
A.) Find the value of a so that PQRS is isosceles. ∠P = (a²+27)° , ∠S=(2a²-54)° Q P
S R
B.) AD = 12x – 11, & BC = 9x – 2. Find the value of x so that ABCD is isosceles.
A B
C D
a=+-9
b) x= 3

15. Thm 6-6-6 Trapezoid Midsegment Thm
The midseg of a trapezoid is ll to the bases and its length is ½ the sum of the base lengths. B A __
> __ M __ N
> __ D
> C
MN || AB || DC and MN = ½ (AB+DC)

16. Ex. 5
Find EF
13.5
A D
E F
B C
10.75

17. Assignment