6-5
Trapezoids
and
Kites
2 cards
Properties of a Trapezoid
(Card 1)
• The base angles of an Isosceles
Trapezoid are congruent
Properties of a Trapezoid
(Card 1)
• The base angles of an Isosceles
Trapezoid are congruent
• The diagonals of an Isosceles
Trapezoid are congruent
Property of a Kite
(Card 2)
• The diagonals of a kite are
perpendicular
Example 1:
Find the measure of each angle
in the isosceles trapezoids
115 
77 
Example 1:
Find the measure of each angle
in the isosceles trapezoids
115 
115 
77 
65 
65 
103 
103 
77 
Example 2:
Find the measure of A, B, C and D
Half of a spider’s web is shown below,
formed by layers of congruent
isosceles trapezoids.
A
C D
B
Example 2:
Find the measure of A, B, C and D
Half of a spider’s web is shown below,
formed by layers of congruent
isosceles trapezoids.
A=B=75
C=D=105
A
C D
B
Prove Triangle Congruence
B
A
E
D
C
Prove Triangle Congruence
B
A
AEB 
AED by HL
E
D
C
Prove Triangle Congruence
B
A
AEB 
AED by HL
CBE 
CDE by HL
E
D
C
Prove Triangle Congruence
B
A
AEB 
AED by HL
CBE 
CDE by HL
ABC 
ADC by SSS
E
D
C
Example 3:
Find the measure of all the angles in the kite
72 
43 
Example 3:
Find the measure of all the angles in the kite
43 
47  72 
43 
90 
18 
47 
72 
18 