A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
A parallelogram is a type of quadrilateral whose pairs of opposite sides are parallel.
Quadrilateral ABCD is a parallelogram because AB∥DC and AD∥BC.
Although the defining characteristics of parallelograms are their pairs of parallel opposite sides, there are other ways we can determine whether a quadrilateral is a parallelogram. We will use these properties in our two-column geometric proofs to help us deduce helpful information.
If a quadrilateral is a parallelogram, then.
(1) its opposite sides are congruent,
(2) its opposite angles are congruent, and
(2) its consecutive angles are supplementary.
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