Special Quadrilaterals

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Presentation transcript:

Special Quadrilaterals Chapter 6 Section 6.6 Special Quadrilaterals

Kite Square Trapezoid Rhombus

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

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

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

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

ABCD is a parallelogram IDENTIFY SPECIAL QUADRILATERALS ABCD is a parallelogram 65 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

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)

PROVE A QUADRIALTERAL IS A SPECIAL TYPE

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)

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)

PROVE A QUADRIALTERAL IS A SPECIAL TYPE

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

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

PROVE A QUADRIALTERAL IS A SPECIAL TYPE

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

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

HW #74 Pg 367-370 8-36, 38, 40, 45-50, 53, 56-64 Even