Trapezoid and Kites Properties

1. 6.5 Trapezoids and kites
Base angles
Isosceles trapezoids
Midsegments

2. Trapezoid definition
A Trapezoid is a quadrilateral with only
one pair of parallel sides.
Base
Base
Leg
Leg
1
b
2
b
h
Amgle
Base
Amgle
Base
Amgle
Base
Amgle
Base

3. Isosceles Trapezoids
Isosceles Trapezoids have congruent legs.
Base
Base
Leg
Leg
1
b
2
b
h
Amgle
Base
Amgle
Base
Amgle
Base
Amgle
Base

4. Theorem
In a Isosceles Trapezoid each pair of
base angles are congruent.

5. Theorem
If a pair of base angles in a trapezoid are
congruent, then the trapezoid is an
isosceles trapezoid.

6. Theorem
In an Isosceles trapezoid the diagonals
are congruent.

7. Definition of a Midsegment
Midsegment connect the midpoints of the
legs.

8. Theorem
The Midsegment equal half the parallel
sides sum.

9. Solve for NO =
The Midsegment equal half the parallel
sides sum.

10. Definition of a Kite
A kite is a quadrilateral with two distinct
pairs of adjacent sides that are
congruent.

11. Theorem
Diagonals in a kite are perpendicular.
BD
AC 

12. Theorem
In a Kite, exactly one pair of opposite
angles are congruent.
D
B 



13. Homework
Page 359 – 362
# 10 – 24 even,
25 – 27 ,
28 – 38 even

14. Homework
Page 359 – 362
# 11 – 23 odd,
31, 33 , 35, 37,
39, 48 -52