1. #18 y + 8 = 3y #28 2y = 10 #32 #38 #48 (On next slide)
Checkpoint p.537
(Properties of Rhombuses, Rectangles, and Squares)
#18
- all sides are 
- opposite ’s 
- diagonals are  diagonals bisects interior angles
- opposite sides are parallel
y + 8 = 3y
8 = 2y
4 = y
180 – 104 = x
76 = x
# y = 10
y = 5
3x + 18 = 5x
18 = 2x
9 = x
#32 #38 #48
(On next slide)

2. = 53
= = 56
= MK + KP
= 1 + 1
= 2

3. Section 8.5 – Use Properties of Trapezoids and Kites
Geometry
Section 8.5 – Use Properties of Trapezoids and Kites
I find the misegment of a trapezoid to find the midsegment or base
I can use the properties of quadrilateral to set up and solve equations to find variables

4. A trapezoid is a quadrilateral with at least one pair of parallel lines

5. = base1 + base2 2

6. EXAMPLE 3
Use the midsegment of a trapezoid
In the diagram, MN is the midsegment of trapezoid PQRS. Find MN.
ANSWER
The length MN is 20 inches.

8. EXAMPLE 2
Use properties of isosceles trapezoids
Arch
The stone above the arch in the diagram is an isosceles trapezoid. Find m K, m M, and m J.

10. EXAMPLE 4
Apply Theorem 8.19
Find m D in the kite shown at the right.

11. Example 4
Find the Missing angles in each Kite
a) b)