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 TheoremsIf 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.