6.6 Trapezoids Kites.notebook
December 03, 2013
Unit 6: Quadrilaterals
6.6 Trapezoids & Kites
A
What about one pair of parallel sides?
D
Trapezoid
C
B
Properties: 1. One pair of parallel sides
2. Exactly two pairs of consecutive angles are supplementary.
Isosceles Trapezoid:
A trapezoid with congruent legs.
Thm: Both pairs of base angles of an isosceles trapezoid are congruen
*opposite angles are supplementary*
Thm: The diagonals of an isosceles trapezoid are congruent.
T
R
TR || PA
TP ≅ RA
P
A
<P ≅ <A
<T ≅ <R
6.6 Trapezoids Kites.notebook
December 03, 2013
Right Trapezoids:
Has two right angles.
Thm: The median of a trapezoid is parallel
½(b1 + b2 ).
to the bases and its measure is A median
connects the midpoints of the legs.
A
x
D
B
Median
y
C
6.6 Trapezoids Kites.notebook
December 03, 2013
HJKL is an isosceles trapezoid with bases HJ and LK
J
S
K
R
L
a.) If LK =30 and HJ = 42, find RS.
H
b.) RS = 17 and HJ = 14, find LK.
GHIJ is a trapezoid. KL is the median. Find x.
G
3x ­ 1
H
H
K
J
10
7x + 1
L
I
6.6 Trapezoids Kites.notebook
What about sides that aren't parallel?
December 03, 2013
Kites
Properties: diagonals are perpendicular
consecutive sides are congruent
6.6 Trapezoids Kites.notebook
Problems from the book:
December 03, 2013