ways of proving a quadrilaterals are parallelograms section 5-2

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Ways of proving a quadrilaterals are parallelograms Section 5-2

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

Ways of proving a quadrilaterals are parallelograms

Section 5-2

Page 2: Ways of proving a quadrilaterals are parallelograms Section 5-2

Using the definition • If both sets of opposite sides are

parallel, then the quadrilateral is a parallelogram.

Page 3: Ways of proving a quadrilaterals are parallelograms Section 5-2

Using both sets of opposite sides

• If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram

Page 4: Ways of proving a quadrilaterals are parallelograms Section 5-2

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

Page 5: Ways of proving a quadrilaterals are parallelograms Section 5-2

Using opposite angles

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

Page 6: Ways of proving a quadrilaterals are parallelograms Section 5-2

Using Diagonals• If the diagonals of a quadrilateral

bisect each other, then the quadrilateral is a parallelogram.