Q:

# Which quadrangle has two pairs of equal sides but is not a parallelogram?

A:

A quadrangle that has two pairs of equal sides but is not a parallelogram is called a kite. Kites have two separate pairs of adjacent congruent sides and one pair of equal opposite angles.

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Kites are orthodiagonal, meaning the diagonals connecting the opposite corners cross each other at right angles. This divides the interior of the kite into two pairs of congruent right triangles. The paired congruent sides can be any length, so the overall shape of a kite can range from very long and pointed to nearly square. If all of the sides of a kite are congruent, then that kite can also be classified as a rhombus.

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## Related Questions

• A:

Two types of geometric quadrilaterals, rectangles and squares, have two pairs of parallel lines and four right angles. In terms of these two shapes, they differ in that a square's sides are all equal length, whereas a rectangle generally has one longer pair and one shorter pair.

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• A:

A trapezoid is a quadrangle that is not a parallelogram. A trapezoid is a quadrangle because it has four sides and four internal angles, but it is not a parallelogram because it only has one pair of parallel sides rather than two.

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• A:

A kite is a quadrilateral, a shape with four straight, flat sides, that has two pairs of sides where the two adjacent sides, the ones that meet, are equal in length. The two angles in a kite where the sides with different measurements meet are identical. The other two angles may or may not be identical.