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Q: Is A quadrilateral is a parallelogram only if both pairs of opposite sides are equal?

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A parallelogram.

Yes. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.

A parallelogram is such a shape.

A quadrilateral is a parallelogram if it has two pairs of (opposite) sides that are parallel.

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False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.

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A parallelogram.

Yes, because a square is a parallelogram

A parallelogram is a geometric quadrilateral with two pairs of parallel sides. The opposite sides and opposite angles are equal in length.

Yes. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.

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

A parallelogram is such a shape.

A quadrilateral is a parallelogram if it has two pairs of (opposite) sides that are parallel.

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

Yes.Although the definition of a parallelogram is "a quadrilateral with both pairs of opposite sides parallel", the only way for a quadrilateral to include opposite sides of equal length is if the included angles are the same, and hence the sides are parallel.(Hint : draw a diagonal to a parallelogram. You can show that one of the two triangles formed is the mirror image of the other, which immmediately proves that each pair of opposite sides is equal.)