Download 6.6 trapezoids + kites.notebook

6.6 trapezoids + kites.notebook
December 05, 2016
12/5/16 - Warm Up Problem
Find the measure of each variable in the square.
o
r
8
o
w
o
x
z
o
y
6.6 trapezoids + kites.notebook
December 05, 2016
Section 6.6 - Trapezoids and Kites
Goal: find and use properties of kites and trapezoids
Quadrilateral Families
Parallelograms
__ pairs of
parallel sides
Trapezoids
__ pairs of
parallel sides
Kites
__ pairs of
parallel sides
6.6 trapezoids + kites.notebook
December 05, 2016
Parts of a Trapezoid
Trapezoid: a quadrilateral with
exactly one pair of parallel sides
A
B
C
85o
46o
D
On all trapezoids, the
angles on the same leg
are supplementary.
6.6 trapezoids + kites.notebook
December 05, 2016
Isosceles Trapezoid: a trapezoid with congruent legs
Properties of an Isosceles Trapezoid
1. Both pairs of base angles are congruent
2. Angles on the same leg are supplementary
3. Diagonals are congruent
6.6 trapezoids + kites.notebook
December 05, 2016
Use Properties of an Isosceles Trapezoid
A
D
B
C
If angle A = 95o, then angle B = ____
If angle D = 64o, then angle C = ____
If angle D = 53o, then angle A = ____
6.6 trapezoids + kites.notebook
December 05, 2016
Midsegments of Trapezoids.
Midsegment of a Trapezoid:
the segment that connects
the midpoints of the legs
Theorem 6.21 - Trapezoid Midsegment Theorem
If a quadrilateral is a trapezoid, then
1) the midsegment is parallel to the bases, and
2) the length of the midsegment is half the sum of the bases
6.6 trapezoids + kites.notebook
December 05, 2016
Using Midsegments of Trapezoids
12
x
18
2x + 1
18
24
6.6 trapezoids + kites.notebook
December 05, 2016
Kite: a quadrilateral that has two pairs of consecutive
congruent sides, but opposite sides are not congruent
Properties of Kites
no sides
are parallel
1) no
parallel
sides
perpendicular diagonals
2) perpendicular
diagonals
pair
of of
3) exactly
exactlyone
one
pair
congruent
angles
oppositeopposite
angles congruent
6.6 trapezoids + kites.notebook
December 05, 2016
Find the measure of each numbered angle.
o
80
1
2
o
70
6.6 trapezoids + kites.notebook
Assignment:
pg. 394
(7-24)
December 05, 2016