1. Special Quadrilaterals
Chapter 6 Section 6.6
Special Quadrilaterals

3. IDENTIFY SPECIAL QUADRILATERALS

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

5. Both Pairs of opposite angles 
IDENTIFY SPECIAL QUADRILATERALS
Both Pairs of opposite angles 

6. Diagonals bisect each other
IDENTIFY SPECIAL QUADRILATERALS
Diagonals bisect each other

7. ABCD is a parallelogram
IDENTIFY SPECIAL QUADRILATERALS
ABCD is a parallelogram
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. Find the slope of each side and show that opposite sides are parallel
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
Looks like a
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. P(5, 4) S(2, 0) PQRS is a Q(3, -6) Definition of R(0, -10)
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
P(5, 4)
S(2, 0)
PQRS is a
Definition of
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
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 ∴ PQRS is a
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
Q(0, 9)
P(4, 8)
R(-2, 1)
S(2, 0)
A Quadrilateral with 4 right angles is a
∴ PQRS is a

16. Find length of each side and show that they are the same
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
Looks like a
Show all sides are
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 ________________
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
Conclusion:
A Quadrilateral with 4 congruent sides is a ________________
∴ PQRS is a______________

19. A Quadrilateral with 4 right angles is a . ∴ PQRS is a
PROVE A QUADRIALTERAL IS A SPECIAL TYPE
Conclusion:
A Quadrilateral with 4 right angles is a .
∴ PQRS is a