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Q: What shapes have both pairs of opposite sides that are congruent?

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Any polygon with 2n sides (n integer) where opposite sides are parallel, will have its opposite angles congruent.

There are many such shapes. Any polygon with an even number of sides can have opposite sides that meet the above requirements.

* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * all angles are 90 degrees * both pairs of opposite angles are congruent * the diagonals bisect each other.

If a quadrilateral has two pairs of opposite congruent sides, then the quadrilateral is a parallelogram.

Of some shape, Yes. Of other shapes, No.

Related questions

A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.

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

A polygon with 2n sides (n>1) can have opposite sides congruent.

Diamond

Trapezoid.

2 pairs, the sides opposite each other are congruent to each other

rectangle

a rhombus

A kite

* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * both pairs of opposite angles are congruent * one pair of opposite sides are parallel and congruent * both diagonals bisect each other * all consecutive angle pairs are supplementary

Both pairs of opposite sides are parallel + congruent, and both pairs of opposite angles are also congruent.

No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.

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