1. 6-2 Properties of Parallelograms

2. Area
Area of Parallelogram
A = base x height

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

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

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

9. 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.

10. Examples
8) Find EH.

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