Q:

# How many quadrilaterals are there?

A:

A quadrilateral is a four-sided polygon. There are many different possible shapes and variations a quadrilateral could take, but there are six main types according to the BBC.

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A quadrilateral with four sides that are equal in length and corners with 90 degree angles is a square. A rectangle has two sets of opposite sides with equal lengths and corners of 90 degrees. A rhombus has all sides of equal length, but the corners may not necessarily measure 90 degrees. A parallelogram has opposite sides of equal lengths, but the corners do not necessarily measure 90 degrees. A trapezoid has only one pair of parallel sides. Finally, a kite has two pairs of sides that are of equal length and one pair of diagonally opposite angles that are equal.

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## Related Questions

• A:

Regents Prep explains that the quickest method for proving that a quadrilateral is a parallelogram is if one pair of opposite sides of the quadrilateral are both parallel and congruent. However, several other forms of proof exist as well.

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• A:

The interior of a pentagon has five angles totaling 540 degrees. In a regular pentagon – a polygon with five congruent sides and five congruent angles – each angle is 108 degrees. Each exterior angle of a regular pentagon is 72 degrees.

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A pentagonal prism has 15 edges and 10 vertices. It also has seven faces: two pentagons, which form its bases, and five rectangles for the sides.