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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
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