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.
Know MoreA 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.
Learn more about GeometryRegents 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.
Full Answer >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.
Full Answer >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.
Full Answer >A triangular prism has six vertices. In order to calculate the number of vertices on any type of prism, take the number of corners on one side and multiply by two. For example, a rectangular prism has eight vertices, or two sets of four.
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