Parallelograms

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Parallelograms
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Parallelogram - Definition

• A parallelogram is a quadrilateral with both
  pairs of opposite sides parallel.

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Properties of Parallelograms

• A quadrilateral is a parallelogram if and only if
  both pairs of opposite sides are congruent.

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Properties of Parallelograms

• A quadrilateral is a parallelogram if and only if
  both pairs of opposite angles are congruent.

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Properties of Parallelograms

• A quadrilateral is a parallelogram if and only if
  consecutive angles are supplementary.

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Properties of Parallelograms

• A quadrilateral is a parallelogram if and only if
  its diagonals bisect each other.

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Another way to prove a quadrilateral is a
parallelogram

• If one pair of opposite sides of a quadrilateral
  are both congruent and parallelogram.

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Summary of ways to prove a quadrilateral is a
parallelogram

• Show both pairs of opposite sides are parallel.
• Show both pairs of opposite sides are congruent.
• Show both pairs of opposite angles are congruent.
  
• Show the diagonals bisect each other.
• Show consecutive angles are supplementary.
• Show one pair of opposite sides are both
  congruent and parallel.

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You may now complete the assignment for sections
6.2 and 6.3.