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6-2 Properties of Parallelograms

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Area Area of Parallelogram A = base x height

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Proof

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Proof

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Theorems Opposite sides of a parallelogram are congruent. Opposite angles of a parallelogram are congruent. Consecutive angles of a parallelogram are supplementary. Diagonals of a parallelogram bisect each other.

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Theorems If three or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.

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Examples 1) Find area of the parallelogram 2) Find area of a parallelogram with vertices (-5,-3), (-2,3), (2,3) & (-1,-3).

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Examples 3)If AB=3x + 11, BC = 2x + 19 and CD = 7x – 17, find x. 4)If m

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Examples 6)If m

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Examples 8) Find EH.

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Example: Honors Geometry Statements Reasons

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