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Ways of proving a quadrilaterals are parallelograms Section 5-2.

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Presentation on theme: "Ways of proving a quadrilaterals are parallelograms Section 5-2."— Presentation transcript:

1 Ways of proving a quadrilaterals are parallelograms Section 5-2

2 Using the definition If both sets of opposite sides are parallel, then the quadrilateral is a parallelogram.

3 Using both sets of opposite sides If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram

4 Using one set of opposite sides If one pair of opposite sides of a quadrilateral is both congruent, and parallel, then the quadrilateral is a parallelogram

5 Using opposite angles If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram

6 Using Diagonals If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.


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