Types of Quadrilaterals



Types of quadrilaterals are discussed here:

1. Parallelogram:

A quadrilateral whose opposite sides are parallel and equal is called a parallelogram. Its opposite angles are equal.

Here LMNO is a parallelogram.



(i) LM is parallel to ON.

LO is parallel to MN.

(ii) LO = MN

LM = ON

(iii) ∠L = ∠N

∠M = ∠O





2. Rectangle:

A rectangle is a parallelogram in which all the angles are right angles.

Here ABCD is a rectangle.



(i) So, AB is parallel to DC.

AD is parallel to BC.

(ii) AD = BC

AB = DC

(iii) ∠A = ∠B = ∠C = ∠D = 90°





3. Square:

A square is a rectangle in which all sides are equal.

Here ABCD is a square.



(i) AB is parallel to DC.

BC is parallel to AD.

(ii) AB = BC = CD = DA.

(iii) ∠A = ∠B = ∠C = ∠D = 90°



4. Rhombus:

A rhombus is a parallelogram whose all sides are equal, opposite sides are parallel and opposite angles are equal.

Here LMNO is a rhombus.



(i) LM = MN = NO = OL

(ii) ∠L = ∠N

∠O = ∠M

(iii) LM is parallel to ON

OL is parallel to MN





5. Trapezium:

A quadrilateral is called trapezium if a pair of its opposite sides are parallel.

Here ABCD is a trapezium.



AB is parallel to DC



If a trapezium has non parallel sides equal, it is called isosceles trapezium.



Let’s discuss about the properties of types of quadrilateral in the table below;

Types of Quadrilaterals


Comparing the sides and angles of the different quadrilateral are discussed above.

● Quadrilaterals.

Elements of a Quadrilateral.

Types of Quadrilaterals.

Parallel Lines.

Perpendicular Lines.

Construction of Perpendicular Lines by using a Protractor.

Sum of Angles of a Quadrilateral.

Worksheet on Quadrilateral.

Practice Test on Quadrilaterals.






5th Grade Geometry Page

5th Grade Math Problems

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