Parallelograms Properties & Attributes. Parallelograms …are quadrilaterals in which both pairs of opposite sides are parallel If a quadrilateral is a.

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Presentation transcript:

Parallelograms Properties & Attributes

Parallelograms …are quadrilaterals in which both pairs of opposite sides are parallel If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its consecutive (or same-side interior) angles are supplementary.

Parallelograms If a quadrilateral is a parallelogram, then its diagonals bisect each other. …are quadrilaterals in which both pairs of opposite sides are parallel But how would we prove any given quadrilateral is a parallelogram?

Parallelograms If the opposite sides of a quadrilateral are congruent, then it is a parallelogram. If the opposite angles of a quadrilateral are congruent, then it is a parallelogram. If the consecutive angles of a quadrilateral are supplementary, then it is a parallelogram.

Parallelograms If the opposite sides of a quadrilateral are congruent, then it is a parallelogram. If the opposite angles of a quadrilateral are congruent, then it is a parallelogram. If the consecutive angles of a quadrilateral are supplementary, then it is a parallelogram. If one pair of opposite sides are parallel and congruent, then the quadrilateral is a parallelogram.

If the opposite sides of a quadrilateral are congruent, then it is a parallelogram. If the opposite angles of a quadrilateral are congruent, then it is a parallelogram. If the consecutive angles of a quadrilateral are supplementary, then it is a parallelogram. If one pair of opposite sides are parallel and congruent, then the quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. Parallelograms