Goals

1. Chapter 9.1: Properties of Parallelograms Goals • Use properties of parallelograms • Use properties of parallelograms in real-life problems Anchor • Identify and use properties of quadrilaterals: parallel sides, diagonals, bisectors, congruent sides and angles, and supplementary angles. Geometry

2. A B D C Properties of Parallelograms Parallelogram - A quadrilateral with both pairs of opposite sides parallel. Geometry

3. A B D C Properties of Parallelograms If a quadrilateral is a parallelogram: E • Then its opposite sides are congruent. AB  CD & AD  BC • Then its opposite angles are congruent. AC & BD • Then its consecutive angles are supplementary. A+B = 180 , B+C = 180, C+D = 180 , A+D = 180 • Then its diagonals bisect each other. AE  CE & DE  BE Geometry

4. A B 115 65 115 65 D C Given:A = 115 Find all of the other angles in the parallelogram. B = 65 C = 115 D = 65 Geometry

5. B B R R 72 58 26 24 50 130 130 N N 26 24 50 58 72 O O W W 14 14 16 32 Given: BO = 28 , WN = 16 Given: BWO = 82, BRN = 58, BOW = 72 Find: BN = _____ NO = _____ NR = _____ WR = _____ Find all the angles. Geometry