6.6 Notes Day 2: Properties of Kites and Trapezoids

Definition of a Trapezoid:

Flashback: Flash-forward:

Draw and label an Isosceles Triangle Draw and label an Isosceles Trapezoid

Properties of Isosceles Trapezoids:

1) 2) 3)

4) 5) 6)

Trapezoid Midsegment Theorem: The midsegment of a trapezoid is ________ to each base, and

the length of the midsegment is ________ the _________ of the lengths of the bases.

Example 1: Example 2:

Example 3: Given: ABCD is an isosceles trapezoid with legs AD and BC.

AC = 50

EB = x + 8

ED = 4x - 3

Find: AE, DB, and EC

Example 4: Given: ABCD is an isosceles trapezoid with upper base BC.

BE= x + 7

CE = y – 3

AE = x + 5

BD = y + 4

Find: x, y, and AC.

Example 5: Given: HGFE is an isosceles trapezoid with lower base EF.

a. Find m

b. Using what you found in part a. and given m = 43˚, find the measure of

m EHG = (6x)

m GFE = (3x)

HEF

HEJ HGJ

A B

D C

E

B

A

C

E

D

J

E

H G

F