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
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!!!
OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS
© KITE DIAGONALS CONJECTURE© KITE DIAGONALS CONJECTURE© KITE DIAGONALS CONJECTURE© KITE DIAGONALS CONJECTURE
Diagonals of a kite are perpendicular
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
OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS
© KITE ANGLES CONJECTURE© KITE ANGLES CONJECTURE© KITE ANGLES CONJECTURE© KITE ANGLES CONJECTURE
Non-vertex angles of a kite are congruent
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
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
ReviewReviewReviewReview
TRAPEZOIDTRAPEZOIDTRAPEZOIDTRAPEZOIDA quadrilateral with exactly one pair of parallel sidesA quadrilateral with exactly one pair of parallel sides
OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS
© TRAPEZOID CONSECUTIVE ANGLE © TRAPEZOID CONSECUTIVE ANGLE CONJECTURECONJECTURE© TRAPEZOID CONSECUTIVE ANGLE © TRAPEZOID CONSECUTIVE ANGLE CONJECTURECONJECTUREConsecutive angles between bases are supplementary
OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS
© ISOSCELES TRAPEZOID CONJECTURE© ISOSCELES TRAPEZOID CONJECTURE© ISOSCELES TRAPEZOID CONJECTURE© ISOSCELES TRAPEZOID CONJECTUREBase angles in an isosceles trapezoid are congruent
OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS
© ISOSCELES TRAPEZOID DIAGONAL © ISOSCELES TRAPEZOID DIAGONAL CONJECTURECONJECTURE© ISOSCELES TRAPEZOID DIAGONAL © ISOSCELES TRAPEZOID DIAGONAL CONJECTURECONJECTURE
Diagonals in an isosceles trapezoid are congruent
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