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Special Quadrilaterals
Chapter 6 Section 6.6 Special Quadrilaterals
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IDENTIFY SPECIAL QUADRILATERALS
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One pair of opposite sides || One Pair of Opposite sides
IDENTIFY SPECIAL QUADRILATERALS One pair of opposite sides || One Pair of Opposite sides
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Both Pairs of opposite angles
IDENTIFY SPECIAL QUADRILATERALS Both Pairs of opposite angles
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Diagonals bisect each other
IDENTIFY SPECIAL QUADRILATERALS Diagonals bisect each other
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ABCD is a parallelogram
IDENTIFY SPECIAL QUADRILATERALS ABCD is a parallelogram A parallelogram with adjacent sides is a Rhombus
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Trapezoid with legs is isosceles
IDENTIFY SPECIAL QUADRILATERALS ABCD is a trapezoid Trapezoid with legs is isosceles
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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
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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)
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PROVE A QUADRIALTERAL IS A SPECIAL TYPE
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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)
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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)
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PROVE A QUADRIALTERAL IS A SPECIAL TYPE
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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
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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
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PROVE A QUADRIALTERAL IS A SPECIAL TYPE
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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______________
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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
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