# 6-2 Properties of Parallelograms

## Presentation on theme: "6-2 Properties of Parallelograms"— Presentation transcript:

6-2 Properties of Parallelograms

Area Area of Parallelogram A = base x height

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

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

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.

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

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

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.

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.

Examples 8) Find EH.

Example: Honors Geometry
Statements Reasons 1. 2. 3. 4. 5. 6.

Similar presentations