Which Quadrilaterals Have Four Right Angles?

In geometry, a quadrilateral is a polygon with four sides or edges. There are several polygons that share the characteristics of a quadrilateral. However, while at least six shapes can be considered quadrilaterals, only two have four right angles — rectangles and squares.

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Properties of Quadrilaterals

Quadrilateral quite literally means "four sides." It can refer to any mathematical shape that is made up of four edges and four corners; however, the edges must be straight lines. Another property of a quadrilateral is that the sum of the interior angles must equal 360 degrees. As long as a shape fits within these parameters, it can be considered a quadrilateral.

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Rectangles

A rectangle is one kind of quadrilateral with four right angles. The definition of a rectangle is a shape with four sides and four right angles. This means each angle in a rectangle measures 90 degrees. Another property of a rectangle is that opposite sides are parallel to each other and equal in length.

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Squares

A square is the other type of quadrilateral with four right angles. The definition of a square is a shape with four equal sides and four right angles. A square is distinguished from a rectangle in that every side of a square is equal in length. Opposite sides are also parallel to each other.

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Other Types of Quadrilaterals

There are several other shapes that fit the parameters of a quadrilateral, though they do not have four right angles. A parallelogram is a simply a quadrilateral with parallel opposite sides. Different from a rectangle, a parallelogram does not have to have four right angles. A rhombus is a quadrilateral where all four sides are equal in length. Different from a square, a rhombus does not have to have four right angles. A trapezoid is a shape with only one pair of opposite parallel sides.

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Cite This Article

MLA

Johnson, Baptist. "Which Quadrilaterals Have Four Right Angles?" sciencing.com, https://www.sciencing.com/quadrilaterals-four-right-angles-8545794/. 24 April 2017.

APA

Johnson, Baptist. (2017, April 24). Which Quadrilaterals Have Four Right Angles?. sciencing.com. Retrieved from https://www.sciencing.com/quadrilaterals-four-right-angles-8545794/

Chicago

Johnson, Baptist. Which Quadrilaterals Have Four Right Angles? last modified March 24, 2022. https://www.sciencing.com/quadrilaterals-four-right-angles-8545794/

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