**What is Quadrilateral?**

A quadrilateral is a 2-dimensional, closed, and four-sided polygon with four angles. Here you will get a deep understanding of Types of Quadrilateral | Properties of each Quadrilateral.

**Properties of Quadrilateral**

A quadrilateral has:

• Quadrilateral has four sides.

• Quadrilateral has four vertices (corners)

• The sum of the interior angles of the quadrilateral is equal to 360 degrees. i.e.,

∠A + ∠B + ∠C + ∠D = 360°

**Type of Quadrilateral**

Based on the lengths of sides and angles quadrilaterals are:

1. Trapezium

2. Parallelogram

3. Square

4. Rectangle

5. Rhombus

6. Kite

Let us discuss in brief the properties of quadrilaterals.

**Square**

**Properties of Square**

• All sides of a square are parallel. (AB || CD & BC || AD).

• All sides of a square are equal. (AB = CD = BC = AD).

• Each of the interior angles of a square is 90°

• The diagonals of a square bisect each other.

• The diagonals bisect each other at 90° or right angles

• The sum of the interior angles of the square is equal to 360 degrees. i.e.,

∠A + ∠B + ∠C + ∠D = 360°

**Rectangle**

**Properties of Rectangle**

• The opposite sides of a rectangle are parallel. (AB || CD).

• The opposite sides of a rectangle are equal. (AB = CD & BC = AD).

• Each of the interior angles of a rectangle is 90°

• The diagonals of a rectangle bisect each other.

• The sum of the interior angles of the rectangle is equal to 360 degrees. i.e.,

∠A + ∠B + ∠C + ∠D = 360°

**Kite**

**Properties of Kite**

• Two distinct pairs of adjacent sides are congruent

• Diagonals of a kite intersect at right angles

• One of the diagonals is the perpendicular bisector of another

• Angles between unequal sides are equal

**Kite**

**Properties of a Parallelogram**

• Opposite sides are parallel i.e AB || CD & BC || AD

• Opposite sides are equal in length i.e AB = CD & BC = AD

• Opposite angles are equal.∠A = ∠C && ∠B = ∠D

• If one angle is right, then all angles are right.

• The diagonals of a parallelogram bisect each other.

• Opposite sides are congruent.

• Opposite angles are congruent.

**Trapezium **

**Properties of a Trapezium **

• The set of the parallel lines in a trapezium is referred to as the base of the trapezium and other two non-parallel sides are known as the legs of that trapezium.

• The mid-segment in a trapezium is the mid-point of the non-parallel side in the trapezium.

• If we bisect the non-parallel line of the trapezium from its mid-point then trapezium will not divide in two equal part.

• The bases of the trapezium are parallel to each other (PQ || RS).

• No sides, angles and diagonals are congruent.

**Rhombus**

**Properties of a Rhombus**

• Every Rhombus has two diagonals connecting pairs of opposite vertices, and the two pairs of parallel sides.

• Opposite angles of a Rhombus are equal in measure.

• Diagonals of Rhombus bisect opposite angles.

• The two diagonals of a Rhombus are always perpendicular.

I hope, this article will help you a lot to understand the **Quadrilateral | Types of Quadrilateral | Properties of Quadrilateral**. If you still have any doubts and problems with any topic of mathematics you can ask your problem in the Ask Question section. You will get a reply shortly.

**Related Topic:**

Area of Square | Properties | Definition | Perimeter | Formula

Area of Rectangle & its Properties, Definition, Perimeter & Formula

Kite (Geometry) Definition | Properties of Kite shape | Perimeter & Formula

Introduction of Parallelogram

Introduction of Trapezium

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