Properties of Trapezoids and Kites - Notes ... - Douce House

Name:
Period:
Properties of Trapezoids and Kites - Notes
The definition of a trapezoid is the only property of trapezoid.
Only property:
Trapezoid - a quadrilateral with exactly one pair of _____________________ sides.
Parts of Trapezoids
Bases - the _________________ sides of a trapezoid.
_______ ll ________
Trapezoids will ALWAYS have _____ bases.
Legs - the ________ - _____________________ sides of a trapezoid
_______ , ________
Trapezoids will ALWAYS have _____ legs.
W X
Z Y
Base Angles - the angles at opposite ends of each parallel side.
Examples - ______ and ______
______ and ______
Trapezoids will ALWAYS have ______ different sets of base angles.
Trapezoids have supplementary angles across opposite base angles.
W X
95° 130°
85° 50°
Z Y
W X
Z Y
W X
Z Y
W X
Z Y

Name:
Period:
Properties of Trapezoids and Kites - Notes
Isosceles Trapezoid - a trapezoid where both legs are ____________________.
An isosceles trapezoid is a special type of trapezoid meaning it is a quadrilateral with exactly one pair of
parallel sides. The parts and the properties of the parts of a trapezoid are the same for an isosceles
trapezoid, BUT isosceles trapezoids have ADDITIONAL PROPERTIES that make it different than just any
trapezoid.
There are 3 additional properties that isosceles trapezoids have that trapezoids don’t have.
1.) A trapezoid is an isosceles trapezoid if one pair of sides, the legs, are ___________________.
_______ ________
2.) A trapezoid is an isosceles trapezoid if the diagonals are ___________________.
_______ ________
Ex. RT = 7 cm. What is the length of SU?
SU = ______ cm
3.) A trapezoid is an isosceles trapezoid if each pair of base angles is __________________.
______ ______
______ ______
R S
U T
A B
D C
A B
D C
A B
110° 110°
70° 70°
D C

Name:
Period:
Properties of Trapezoids and Kites - Notes
Kite - a quadrilateral with two distinct pairs of _____________________ ______________________ sides.
Kites have 3 properties that make them unique to any other type of quadrilateral.
1.) A quadrilateral is a kite if it has two distinct pairs of _________________ ________________ sides.
______ ______
______ ______
2.) A quadrilateral is a kite if its diagonals are ______________________________ to each other.
_______ ________
3.) A quadrilateral is a kite if only ______ diagonal divides the quadrilateral into two congruent
triangles. (The other diagonals divide the kite into 2 isosceles triangles.)
Congruent Triangles Non-Congruent Triangles (2 isosceles triangles)
M
L N
L N
L N
Δ _______ Δ _______ Δ _______ Δ _______
P
M
P
M
P
M
L N
P