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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 2. 3. 4. 5. 6. 7. 8.

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Proof 1. 2. 3. 4. 5. 6. 7.

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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<BAD = y and m<ADC = 4y – 70, find y. 5) If m<ABC=2x and m<ADC=6x + 84, find m<BCD.

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**Examples 6) If m<BCD=80 and m<CAD=34, find m<ACD.**

7) If AP=3x, BP=y, CP=6x - 42, and DP=27 - 2y, find x &y.

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Examples 8) Find EH.

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**Example: Honors Geometry**

Statements Reasons 1. 2. 3. 4. 5. 6.

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Parallelograms Unit 8.2. What is a parallelogram Definition: a parallelogram is a quadrilateral with both pairs of opposite sides parallel.

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