Quadrilateral | Types of Quadrilateral | Properties of each Quadrilateral

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:
Quadrilateral - mathsmaker.com
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°

Square - mathsmaker.com

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°

Rectangle - mathsmaker.com

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 - mathsmaker.com

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.

parallelogram - mathsmaker.com

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.

Trapezium- mathsmaker.com

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.

Rhombus
Property of rhombus

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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