1. Chapter 6 Section 6.5A
Kites and Trapezoids

2. Always
Always Diagonals 
Always Opposites sides ||
Square

3. Trapezoid ABCD with Bases
USE PROPERTIES OF KITES AND TRAPEZOIDS
Definition Trapezoid A B C D
Trapezoid ABCD with Bases

4. Legs – Non-parallel sides Congruent legs make the trapezoid Isosceles
USE PROPERTIES OF KITES AND TRAPEZOIDS
Trapezoid Vocabulary
Legs – Non-parallel sides
Congruent legs make the trapezoid Isosceles A B C D
Base Angles – Angle formed by a base and a leg
Congruent base angles makes the trapezoid Isosceles

5. USE PROPERTIES OF KITES AND TRAPEZOIDSB C E D

6. is a midsegment of Trapezoid ABCD A B
USE PROPERTIES OF KITES AND TRAPEZOIDS
Theorem
is a midsegment of Trapezoid ABCD A B C D P Q

7. The length of the midsegment is equal to half the sum of the bases
USE PROPERTIES OF KITES AND TRAPEZOIDS
The length of the midsegment is equal to half the sum of the bases

8. USE PROPERTIES OF KITES AND TRAPEZOIDS
Never
Always
Always
Sometimes

9. Trapezoid PQSR is Isosceles And Base Angles are  P  Q and R  S
USE PROPERTIES OF KITES AND TRAPEZOIDS
Theorem P Q R S
Trapezoid PQSR is Isosceles
And
Base Angles are  P  Q and R  S

10. Trapezoid ABCD is Isosceles so base angles are congruent
USE PROPERTIES OF KITES AND TRAPEZOIDS
Trapezoid ABCD is Isosceles so base angles are congruent
mA + mB + mC + mD = 360
x + x = 360
x = 360
2x = 254
x = 127
mA = mB = 53
mD = mC = x
mA = 53, mB = 53, mC = 127, mD = 127

11. USE PROPERTIES OF KITES AND TRAPEZOIDS
Definition Kite
Kite GHJK

12. USE PROPERTIES OF KITES AND TRAPEZOIDS
Theorem
Kite GHJK

13. USE PROPERTIES OF KITES AND TRAPEZOIDS
Since the Diagonals are Perpendicular we can use the pythagorean theorem
(KI)2 =
(IT)2 =
(KI)2 =
(IT)2 =
(KI)2 = 20
(IT)2 = 40 KE ET

14. USE PROPERTIES OF KITES AND TRAPEZOIDS
Theorem
H  K
Kite GHJK

15. Kite KITE has one pair of opposite angles congruent
USE PROPERTIES OF KITES AND TRAPEZOIDS
Kite KITE has one pair of opposite angles congruent
mE = mI = 124
mT = 32 mK = x
mK + mI + mT + mE = 360
x = 360
280 + x = 360
x = 80
mK = 80, mI = 124, mT = 32, mD =124

16. HW #72 Pg Even, 25-27, Even, 46, 48, 50-52