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Condtions for parallelograms.notebook January 30, 2013 Given: ABCD and AFGH are parallelgrams Prove: <C < G 1 Condtions for parallelograms.notebook January 30, 2013 6.3: Conditions for Parallelograms Def of Parallelogram: Two pairs of parallel sides Properties: Opposite sides congruent Opposite angles congruent Consecutive angles supplementary Diagonals bisect each other If quad is a parallelogram, then ______________ 2 Condtions for parallelograms.notebook January 30, 2013 If __________________, then the quadrilateral is a parallelogram Def: If both pairs of opposite sides are parallel, then the quadrilateral is a parallelogram. Condition #1: If one pair of opposite sides are parallel and congruent, then the quadrilateral is a parallelogram Condition #2: If both pairs of opposite sides are congruent, then the quadrilateral is a parallelogram. 3 Condtions for parallelograms.notebook January 30, 2013 Condition #3: If both pairs of opposite angles are congruent, then the quadrilateral is a parallelogram. Condition #4: If an angle is supplementary to both consecutive angles, then the quadrilateral is a parallelogram. Condition #5: If both diagonals bisect each other, then the quadrilateral is a parallelogram. 4 Condtions for parallelograms.notebook January 30, 2013 Is the quadrilateral a parallelogram? If so, which condition does it hold? 5 Condtions for parallelograms.notebook January 30, 2013 6
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