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Geometry Section 7.2 Properties of Parallelograms What you will learn: 1. Use properties to find side lengths and angle measures of parallelograms 2. Use parallelograms in the coordinate plane A parallelogram is a quadrilateral with both pairs of opposite sides parallel. To name the parallelogram to the right, use the notation _________. 1. Quad. ABCD is a parallelogram 1. Given 2. AB || DC , AD || BC 2. Def. of parallelogram 3. BAC ACD, DAC ACB 3. Alt. Int. Angle Theorem 4. AC AC 4. Reflexive Property 5. ABC CDA 5. ASA its opposite sides are congruent its opposite angles are congruent its consecutive angles are supplementary its diagonals bisect each other each diagonal is divided into two congruent segments 3 x 5 6 x 11 16 3 x x 5. 3 3 y 11 1 8 y ) 2 3 y 11 4 y y 11 3 z 5 6 z 11 180 9 z 6 180 z 20. 6 9 z 186 3 z 5 6 z 11 180 9 z 6 180 z 20. 6 9 z 186 6 w 5 13w 11 16 7 w w 16 7 Find the midpoint of one diagonal. 0 6 3 0 , 3,1.5 2 2 5 1 3 0 , 3,1.5 2 2 DG || EF and DG EF 1,1 rise 5 run 2 HW: pp 372 – 373 / 3 – 20 all, 23, 26 – 34 Even