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6.3 kite and trapezoid properties (2009)

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Page 1: 6.3 Kite And Trapezoid Properties (2009)
Page 2: 6.3 Kite And Trapezoid Properties (2009)

LAST NIGHT’S HWLAST NIGHT’S HWLAST NIGHT’S HWLAST NIGHT’S HW

Page 3: 6.3 Kite And Trapezoid Properties (2009)

Back to Clock Home

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Back to Clock Home

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Classroom Timer

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Page 5: 6.3 Kite And Trapezoid Properties (2009)
Page 6: 6.3 Kite And Trapezoid Properties (2009)
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Page 8: 6.3 Kite And Trapezoid Properties (2009)
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6.36.3Kite and Trapezoid Kite and Trapezoid

PropertiesPropertiesNeed:Need:-Notes-Notes-Conjecture List-Conjecture List

Page 12: 6.3 Kite And Trapezoid Properties (2009)

ReviewReviewReviewReview

KITEKITEKITEKITEA quadrilateral with exactly 2 pairs of distinct congruent consecutive sidesA quadrilateral with exactly 2 pairs of distinct congruent consecutive sides

Vertex Vertex AnglesAngles

Non-vertex Non-vertex AnglesAngles NO PARALLEL

SIDES!!!

Page 13: 6.3 Kite And Trapezoid Properties (2009)

OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© KITE DIAGONALS CONJECTURE© KITE DIAGONALS CONJECTURE© KITE DIAGONALS CONJECTURE© KITE DIAGONALS CONJECTURE

Diagonals of a kite are perpendicular

Page 14: 6.3 Kite And Trapezoid Properties (2009)

OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© KITE DIAGONAL BISECTOR CONJ.© KITE DIAGONAL BISECTOR CONJ.© KITE DIAGONAL BISECTOR CONJ.© KITE DIAGONAL BISECTOR CONJ.

The diagonal connecting the vertex angles bisectors the non-vertex angle diagonal

Page 15: 6.3 Kite And Trapezoid Properties (2009)

OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© KITE ANGLES CONJECTURE© KITE ANGLES CONJECTURE© KITE ANGLES CONJECTURE© KITE ANGLES CONJECTURE

Non-vertex angles of a kite are congruent

Page 16: 6.3 Kite And Trapezoid Properties (2009)

OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© KITE ANGLE BISECTOR CONJECTURE© KITE ANGLE BISECTOR CONJECTURE© KITE ANGLE BISECTOR CONJECTURE© KITE ANGLE BISECTOR CONJECTUREThe vertex angles of a kite are bisected by the vertex diagonal

Page 17: 6.3 Kite And Trapezoid Properties (2009)

ReviewReviewReviewReview

TRAPEZOIDTRAPEZOIDTRAPEZOIDTRAPEZOIDA quadrilateral with exactly one pair of parallel sidesA quadrilateral with exactly one pair of parallel sides

Base Base AnglesAngles

Base Base AnglesAngles

BaseBase11

BaseBase22

Page 18: 6.3 Kite And Trapezoid Properties (2009)

ReviewReviewReviewReview

TRAPEZOIDTRAPEZOIDTRAPEZOIDTRAPEZOIDA quadrilateral with exactly one pair of parallel sidesA quadrilateral with exactly one pair of parallel sides

Page 19: 6.3 Kite And Trapezoid Properties (2009)

OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© TRAPEZOID CONSECUTIVE ANGLE © TRAPEZOID CONSECUTIVE ANGLE CONJECTURECONJECTURE© TRAPEZOID CONSECUTIVE ANGLE © TRAPEZOID CONSECUTIVE ANGLE CONJECTURECONJECTUREConsecutive angles between bases are supplementary

Page 20: 6.3 Kite And Trapezoid Properties (2009)

OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© ISOSCELES TRAPEZOID CONJECTURE© ISOSCELES TRAPEZOID CONJECTURE© ISOSCELES TRAPEZOID CONJECTURE© ISOSCELES TRAPEZOID CONJECTUREBase angles in an isosceles trapezoid are congruent

Page 21: 6.3 Kite And Trapezoid Properties (2009)

OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© ISOSCELES TRAPEZOID DIAGONAL © ISOSCELES TRAPEZOID DIAGONAL CONJECTURECONJECTURE© ISOSCELES TRAPEZOID DIAGONAL © ISOSCELES TRAPEZOID DIAGONAL CONJECTURECONJECTURE

Diagonals in an isosceles trapezoid are congruent

Page 22: 6.3 Kite And Trapezoid Properties (2009)

CLASSWORKCLASSWORKWORKSHEET

Page 23: 6.3 Kite And Trapezoid Properties (2009)
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