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# What Are Some Proofs Related to Parallelograms?

One proof regarding a parallelogram is used to show that the two pairs of opposite sides are congruent. When given a parallelogram with angles A, B, C and D, the line segments AB and CD are congruent, as are the line segments BC and AD.

Continue ReadingAnother proof relating to parallelograms states that a quadrilateral for which one pair of opposite sides is both parallel and congruent is a parallelogram. This proof is developed using geometric properties, including those belonging to transversals, interior angles, congruent sides of triangles and corresponding parts of congruent triangles. A parallelogram is a quadrilateral for which both pairs of opposite sides are parallel and congruent, with related properties applying to the shape's angles.

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## What Is the Perimeter of a Parallelogram?

A: The perimeter of a parallelogram, as for any polygon, is the sum of the lengths of its sides. The opposite sides of a parallelogram are parallel and have t... Full Answer >Filed Under: -
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## Is a Rhombus a Parallelogram?

A: A rhombus is a four-sided figure with opposite sides parallel, making it a parallelogram. The rhombus differs from other parallelograms in that all four si... Full Answer >Filed Under: -
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## What Is the Difference Between a Parallelogram and a Rhombus?

A: The difference between a parallelogram and a rhombus is that a parallelogram is a quadrilateral whose opposite sides are parallel to one another regardless... Full Answer >Filed Under: -
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## What Shape Has Two Pairs of Parallel Sides?

A: There are four variations of quadrilaterals that have two pairs of parallel sides: rhombuses, parallelograms, squares and rectangles. They are each differe... Full Answer >Filed Under: