What Is a Quadrilateral? Learn more about Types and Properties

ElevatEd
Math
January 17, 2025

$types of quadrilaterals$ Quadrilateral and its different types of quadrilaterals are important in geometry. A shape that is mainly enclosed with four lines and has four vertices and four angles is called a Quadrilateral. It is created by joining four non-collinear points. The total interior angles of the quadrilateral is always 360 degrees. There are two types of quadrilateral regular and irregular. The diagonals quadrilaterals bisect each other, it is called regular, on the other hand in an irregular quadrilateral four sides and angles are not equal.

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Quadrilateral has various types and properties. Usually, a quadrilateral has a two-dimensional shape, and parallelogram, rectangle, rhombus, trapezoid, isosceles trapezoid etc. are different types. This article is going to describe all about quadrilaterals and their types and properties.

Definition of Quadrilateral

A quadrilateral is a simple figure with four lines that adjoin and create a shape with vertices and corners. The word Quadri means four and Latus means sides, together it is named quadrilateral. Quadrilateral’s two-dimensional shapes with four sides.

Example: If ABCD is a quadrilateral then the sides will be AB, BC, CD, DA. With added vertices, it is AC and BD.

A Quadrilateral

Types of Quadrilaterals

Quadrilaterals are mainly different shapes enclosed with four sides. It has four angles and the sum of its interior is always 360 degrees. There are different types of quadrilaterals such as rectangles, squares, parallelograms, rhombi, trapezoids, and kites.

Different types of Quadrilaterals

Properties of quadrilateral

There are several properties of quadrilaterals that are mostly used in geometry.

Quadrilaterals always have four sides and vertices.

The total of interior angles is 360 degrees.

Quadrilaterals have two-dimensional shapes.

Regular and irregular quadrilateral in geometry.

Quadrilateral has two diagonals.

Other classifications of quadrilateral

Other classifications of Quadrilaterals are convex, concave, and intersecting quadrilaterals.

Convex quadrilateral: Each diagonal of a quadrilateral consists of figures.

Concave quadrilateral: One diagonal must lie partially or completely outside of the figure.

Intersecting quadrilateral: It is the most complex quadrilateral among all that is non-adjacent sides bisect. It is also known as crossed quadrilaterals.

Classification of quadrilaterals

To sum up, a quadrilateral is an important element in geometry that we can find in our everyday lives. Regular shapes like floors, roofs, class boards, windows, tables, etc are perfect examples of quadrilaterals. Regular and irregular quadrilaterals are seen in geometry. Various properties make a difference in quadrilateral shapes. To get more facts about Quadrilateral and types of quadrilaterals, visit www.98thpercentile.com

FAQ (Frequently Asked Questions)

Q.1. What is the Quadrilateral formula?

Ans: If ABCD is a quadrilateral, the formula is, ABCD = (1/2) × d × h1 + (1/2) × d × h2 = (1/2) × d × (h2 + h2).

Q.2. What is the sum of quadrilateral interior angles?

Ans: The sum is always 360 degrees.

Q.3. Is quadrilateral a two-dimensional shape?

Ans: Yes, a quadrilateral is a two-dimensional shape.

Q.4. How to identify quadrilateral perimeter?

Ans: It can be identified by adding the length of all four sides.

Q.5. What are the classifications of quadrilateral?

Ans: Three classified quadrilaterals, convex, concave, and intersecting quadrilaterals.

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What Is a Quadrilateral? Learn more about Types and Properties