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6-2 Properties of Parallelograms. Area Area of Parallelogram A = base x height.

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Presentation on theme: "6-2 Properties of Parallelograms. Area Area of Parallelogram A = base x height."— Presentation transcript:

1 6-2 Properties of Parallelograms

2 Area Area of Parallelogram A = base x height

3 Proof

4 Proof

5 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.

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

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

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

9 Examples 6)If m

10 Examples 8) Find EH.

11 Example: Honors Geometry Statements Reasons


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