1. Special Quadrilaterals
Chapter 6 Section 6.6
Special Quadrilaterals

2. Kite
Square
Trapezoid
Rhombus

3. X X X X X X X X X X X X X X X X X X X X X
IDENTIFY SPECIAL QUADRILATERALS X X X X X X X X X X X X X X X X X X X X X

4. Isosceles Trapezoid One pair of opposite sides ||
IDENTIFY SPECIAL QUADRILATERALS
One pair of opposite sides ||
One Pair of Opposite sides 
Isosceles Trapezoid

5. Parallelogram, Rectangle, Rhombus, Square
IDENTIFY SPECIAL QUADRILATERALS
Both Pairs of opposite angles 
Parallelogram, Rectangle, Rhombus, Square

6. Parallelogram, Rectangle, Rhombus, Square
IDENTIFY SPECIAL QUADRILATERALS
Diagonals bisect each other
Parallelogram, Rectangle, Rhombus, Square

7. ABCD is a parallelogram
IDENTIFY SPECIAL QUADRILATERALS
ABCD is a parallelogram 65
A parallelogram with adjacent sides  is a Rhombus

8. Trapezoid with  legs is isosceles
IDENTIFY SPECIAL QUADRILATERALS
ABCD is a trapezoid
Trapezoid with  legs is isosceles

9. Need 4 Right angles and 4  Sides
IDENTIFY SPECIAL QUADRILATERALS
Need 4 Right angles and 4  Sides
A Rhombus with 1 right angle is a square

10. Looks like a parallelogram
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
Looks like a parallelogram
Find the slope of each side and show that opposite sides are parallel
Clearly not all sides are 
P(5, 4)
S(2, 0)
Q(3, -6)
R(0, -10)

11. PROVE A QUADRIALTERAL IS A SPECIAL TYPE

12. PQRS is a parallelogram Definition of Parallelogram Q(3, -6)
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
P(5, 4)
S(2, 0)
PQRS is a parallelogram
Definition of Parallelogram
Q(3, -6)
R(0, -10)

13. Find slopes and show that they are negative reciprocals
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
Q(0, 9)
Looks like a rectangle
Show 4 right angles
Find slopes and show that they are negative reciprocals
Clearly it is not a Rhombus
P(4, 8)
R(-2, 1)
S(2, 0)

14. PROVE A QUADRIALTERAL IS A SPECIAL TYPE

15. A Quadrilateral with 4 right angles is a rectangle
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
Q(0, 9)
P(4, 8)
R(-2, 1)
S(2, 0)
PQRS is a rectangle
A Quadrilateral with 4 right angles is a rectangle

16. Show all sides congruent
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
Looks like a Rhombus
Show all sides congruent
Find length of each side and show that they are the same
Clearly it is not a Rectangle

17. PROVE A QUADRIALTERAL IS A SPECIAL TYPE

18. A Quadrilateral with 4 congruent sides is a rhombus
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
PQRS is a Rhombus
A Quadrilateral with 4 congruent sides is a rhombus

19. A Quadrilateral with 4 right angles is a rectangle
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
PQRS is a Rectangle
A Quadrilateral with 4 right angles is a rectangle

20. HW #74 Pg , 38, 40, 45-50, 53, Even