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Published byMilo Payne Modified over 8 years ago

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Proving that a quadrilateral is a Parallelogram Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

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Proving Parallelograms When is a quadrilateral a parallelogram? 1.If both pairs of opposite sides are parallel 2.If both pairs of opposite sides are congruent 3.If both pairs of opposite angles are congruent 4.If the diagonals bisect each other 5.If a pair of opposite sides are both congruent and parallel

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Exercises Is the quadrilateral a parallelogram or not ? Why? YES!

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Exercises Is the quadrilateral a parallelogram or not ? Why? YES!

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Exercises Is the quadrilateral a parallelogram or not ? Why? YES!

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Exercises Is the quadrilateral a parallelogram or not ? Why? No

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Exercises Is the quadrilateral a parallelogram or not ? Why? No

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Exercises Is the quadrilateral a parallelogram or not ? Why? No

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Exercises Is the quadrilateral a parallelogram or not ? Why? No

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Exercises Is the quadrilateral a parallelogram or not ? Why? YES!

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Exercises Is the quadrilateral a parallelogram or not ? Why? YES!

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Exercises What must be the values of x and y to make ABCD a parallelogram?

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Exercises What must be the values of x and y to make ABCD a parallelogram?

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Exercises What must be the values of x to make ABCD a parallelogram?

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