Special Quadrilaterals Chapter 6 Section 6.6 Special Quadrilaterals

IDENTIFY SPECIAL QUADRILATERALS

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

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

Diagonals bisect each other IDENTIFY SPECIAL QUADRILATERALS Diagonals bisect each other

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

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

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

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)

PROVE A QUADRIALTERAL IS A SPECIAL TYPE

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)

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)

PROVE A QUADRIALTERAL IS A SPECIAL TYPE

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

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

PROVE A QUADRIALTERAL IS A SPECIAL TYPE

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______________

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