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Geometry Chapter 6 Postulates and Theorems

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Theorem 6-1 Parallelogram: Opposite SidesOpposite sides of a parallelogram are congruent.
Theorem 6-2 Parallelogram: Opposite AnglesOpposite angles of a parallelogram are congruent
Theorem 6-3 Parallelogram: DiagonalsThe diagonals of a parallelogram bisect each other.
Theorem 6-4 Multiple Parallel Lines and a TransversalIf three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
Theorem 6-5 Converse Parallelogram DiagonalsIf the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Theorem 6-6 Quadrilateral one pair of opposite sidesIf one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram.
Theorem 6-7 Converse Parallelogram Opposite SidesIf both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Theorem 6-8 Converse Parallelogram Opposite AnglesIf both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Theorem 6-9 Diagonals of a Rhombus and anglesEach diagonal of a rhombus bisects two angles of the Rhombus.
Theorem 6-10 Diagonals of a RhombusThe diagonals of a rhombus are perpendicular.

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