
CBSE Important Questions›

CBSE Previous Year Question Papers›
 CBSE Previous Year Question Papers
 CBSE Previous Year Question Papers Class 12
 CBSE Previous Year Question Papers Class 10

CBSE Revision Notes›

CBSE Syllabus›

CBSE Extra Questions›

CBSE Sample Papers›
 CBSE Sample Papers
 CBSE Sample Question Papers For Class 5
 CBSE Sample Question Papers For Class 4
 CBSE Sample Question Papers For Class 3
 CBSE Sample Question Papers For Class 2
 CBSE Sample Question Papers For Class 1
 CBSE Sample Question Papers For Class 12
 CBSE Sample Question Papers For Class 11
 CBSE Sample Question Papers For Class 10
 CBSE Sample Question Papers For Class 9
 CBSE Sample Question Papers For Class 8
 CBSE Sample Question Papers For Class 7
 CBSE Sample Question Papers For Class 6

ISC & ICSE Syllabus›

ICSE Question Paper›
 ICSE Question Paper
 ISC Class 12 Question Paper
 ICSE Class 10 Question Paper

ICSE Sample Question Papers›
 ICSE Sample Question Papers
 ISC Sample Question Papers For Class 12
 ISC Sample Question Papers For Class 11
 ICSE Sample Question Papers For Class 10
 ICSE Sample Question Papers For Class 9
 ICSE Sample Question Papers For Class 8
 ICSE Sample Question Papers For Class 7
 ICSE Sample Question Papers For Class 6

ICSE Revision Notes›
 ICSE Revision Notes
 ICSE Class 9 Revision Notes
 ICSE Class 10 Revision Notes

ICSE Important Questions›

Maharashtra board›

RajasthanBoard›
 RajasthanBoard

Andhrapradesh Board›
 Andhrapradesh Board
 AP Board Sample Question Paper
 AP Board syllabus
 AP Board Previous Year Question Paper

Telangana Board›

Tamilnadu Board›

NCERT Solutions Class 12›
 NCERT Solutions Class 12
 NCERT Solutions Class 12 Economics
 NCERT Solutions Class 12 English
 NCERT Solutions Class 12 Hindi
 NCERT Solutions Class 12 Maths
 NCERT Solutions Class 12 Physics
 NCERT Solutions Class 12 Accountancy
 NCERT Solutions Class 12 Biology
 NCERT Solutions Class 12 Chemistry
 NCERT Solutions Class 12 Commerce

NCERT Solutions Class 10›

NCERT Solutions Class 11›
 NCERT Solutions Class 11
 NCERT Solutions Class 11 Statistics
 NCERT Solutions Class 11 Accountancy
 NCERT Solutions Class 11 Biology
 NCERT Solutions Class 11 Chemistry
 NCERT Solutions Class 11 Commerce
 NCERT Solutions Class 11 English
 NCERT Solutions Class 11 Hindi
 NCERT Solutions Class 11 Maths
 NCERT Solutions Class 11 Physics

NCERT Solutions Class 9›

NCERT Solutions Class 8›

NCERT Solutions Class 7›

NCERT Solutions Class 6›

NCERT Solutions Class 5›
 NCERT Solutions Class 5
 NCERT Solutions Class 5 EVS
 NCERT Solutions Class 5 English
 NCERT Solutions Class 5 Maths

NCERT Solutions Class 4›

NCERT Solutions Class 3›

NCERT Solutions Class 2›
 NCERT Solutions Class 2
 NCERT Solutions Class 2 Hindi
 NCERT Solutions Class 2 Maths
 NCERT Solutions Class 2 English

NCERT Solutions Class 1›
 NCERT Solutions Class 1
 NCERT Solutions Class 1 English
 NCERT Solutions Class 1 Hindi
 NCERT Solutions Class 1 Maths

JEE Main Question Papers›

JEE Main Syllabus›
 JEE Main Syllabus
 JEE Main Chemistry Syllabus
 JEE Main Maths Syllabus
 JEE Main Physics Syllabus

JEE Main Questions›
 JEE Main Questions
 JEE Main Maths Questions
 JEE Main Physics Questions
 JEE Main Chemistry Questions

JEE Main Mock Test›
 JEE Main Mock Test

JEE Main Revision Notes›
 JEE Main Revision Notes

JEE Main Sample Papers›
 JEE Main Sample Papers

JEE Advanced Question Papers›

JEE Advanced Syllabus›
 JEE Advanced Syllabus

JEE Advanced Mock Test›
 JEE Advanced Mock Test

JEE Advanced Questions›
 JEE Advanced Questions
 JEE Advanced Chemistry Questions
 JEE Advanced Maths Questions
 JEE Advanced Physics Questions

JEE Advanced Sample Papers›
 JEE Advanced Sample Papers

NEET Eligibility Criteria›
 NEET Eligibility Criteria

NEET Question Papers›

NEET Sample Papers›
 NEET Sample Papers

NEET Syllabus›

NEET Mock Test›
 NEET Mock Test

NCERT Books Class 9›
 NCERT Books Class 9

NCERT Books Class 8›
 NCERT Books Class 8

NCERT Books Class 7›
 NCERT Books Class 7

NCERT Books Class 6›
 NCERT Books Class 6

NCERT Books Class 5›
 NCERT Books Class 5

NCERT Books Class 4›
 NCERT Books Class 4

NCERT Books Class 3›
 NCERT Books Class 3

NCERT Books Class 2›
 NCERT Books Class 2

NCERT Books Class 1›
 NCERT Books Class 1

NCERT Books Class 12›
 NCERT Books Class 12

NCERT Books Class 11›
 NCERT Books Class 11

NCERT Books Class 10›
 NCERT Books Class 10

Chemistry Full Forms›
 Chemistry Full Forms

Biology Full Forms›
 Biology Full Forms

Physics Full Forms›
 Physics Full Forms

Educational Full Form›
 Educational Full Form

Examination Full Forms›
 Examination Full Forms

Algebra Formulas›
 Algebra Formulas

Chemistry Formulas›
 Chemistry Formulas

Geometry Formulas›
 Geometry Formulas

Math Formulas›
 Math Formulas

Physics Formulas›
 Physics Formulas

Trigonometry Formulas›
 Trigonometry Formulas

CUET Admit Card›
 CUET Admit Card

CUET Application Form›
 CUET Application Form

CUET Counselling›
 CUET Counselling

CUET Cutoff›
 CUET Cutoff

CUET Previous Year Question Papers›
 CUET Previous Year Question Papers

CUET Results›
 CUET Results

CUET Sample Papers›
 CUET Sample Papers

CUET Syllabus›
 CUET Syllabus

CUET Eligibility Criteria›
 CUET Eligibility Criteria

CUET Exam Centers›
 CUET Exam Centers

CUET Exam Dates›
 CUET Exam Dates

CUET Exam Pattern›
 CUET Exam Pattern
CBSE Class 8 Mathematics Revision Notes Chapter 3 – Understanding Quadrilaterals
In these Class 8 Mathematics Chapter 3 notes, students will learn about graphs. In addition, with the help of Class 8 Chapter 3 Mathematics notes, students will know how to answer important questions from the chapter on their final examination. The Chapter 3 Mathematics class 8 notes of the CBSE syllabus are carefully taken from NCERT books and will provide students with essential questions that can be asked in the examinations. Moreover, Class 8 Mathematics notes Chapter 3 will be a student’s CBSE revision notes, providing all the necessary information. These notes are based on the CBSE syllabus.
Revision Notes For CBSE Class 8 Mathematics Chapter 3 – Free PDF Download
Access Class 8 Mathematics Chapter 3 – ‘Understanding Quadrilaterals’ Notes In 30 Minutes
Download CBSE Class 8 Mathematics Chapter 3 Notes Free PDF
These notes contain all the topics in the NCERT books concisely. Download the Class 8 Mathematics chapter 3 notes on this page to improve your exam results. Once you go through these notes, you can easily solve CBSE sample papers to test your understanding. These notes also contain CBSE extra questions that will help students test their understanding.
About Understanding Quadrilaterals Class 8 Notes
A Quadrilateral is a figure bounded by four line segments where no three lines are parallel.
A quadrilateral consists of four sides, four vertices, and four angles.
Here, figure ABCD is a quadrilateral bounded by four sides, i.e. AB, BC, CD, and AD. The four vertices of the quadrilateral are A, B, C, and D. The four angles of the quadrilateral are ∠A, ∠B, ∠C, and ∠D, and it is written as □ABCD and read as quadrilateral ABCD. (1)
The diagonal of the quadrilateral refers to a line segment drawn from one vertex to the opposite vertex. For example, In the figure given below, segments AC and BD are the diagonals of the quadrilateral ABCD.
Parallelogram
A Parallelogram refers to a quadrilateral with each pair of opposite sides parallel.
 Opposite sides are equal.
 Opposite angles are equal.
 Diagonals bisect one another.
Rhombus:
It is a parallelogram with sides of equal length. Rhombus is also a type of quadrilateral.
 All the properties of a parallelogram.
 Diagonals are perpendicular to each other.
Rectangle:
A rectangle is a type of parallelogram with a right angle.
 It has all the features of a parallelogram.
 Each angle is a right angle.
 Diagonals are equal.
Square:
 A rectangle with sides of equal length.
 Has every property of a parallelogram, rhombus, and rectangle.
Kite:
A Kite is a quadrilateral having exactly two pairs of equal consecutive sides.
 The diagonals are perpendicular to one another.
 One of the diagonals bisects the other.
 From figure (2),
AB=AD
BC=CD (2)
Trapezium
A quadrilateral that has a single pair of parallel sides is called a trapezium.
Diagonal:
A diagonal is a simple closed curve that consists of only line segments.
Here, the line segment connects two nonconsecutive vertices of a polygon.
Convex:
Here, the measure of each angle is less than 180°.
Concave:
Here, the measure of at least one angle is more than 180°.
Quadrilateral:
It is a polygon that has four sides.
Element of quadrilateral:
(i) Sides:
Points are joined by line segments.
(ii) Vertices:
Point where the intersection of two consecutive sides happens.
(iii) Opposite sides:
Two sides of a quadrilateral that have no common endpoint.
(iv) Opposite Angles:
Two angles of a quadrilateral that does not have a common arm.
(v) Diagonals:
By joining the opposite vertices, a line segment is obtained.
(vi) Adjacent Angles:
Two angles of a quadrilateral that has a common arm.
(vii) Adjacent Sides:
Two sides of a quadrilateral that have a common endpoint.
Terms Related To Quadrilateral
Opposite Sides: Two sides of a quadrilateral would be opposite if the sides have no common vertex. In the figure given above, sides AB and DC; sides AD and BC are the two pairs of opposite sides.
Opposite Angles: Two angles of a quadrilateral would be opposite angles if they don’t have any common arm. In the figure given above, ∠A and ∠C; ∠B and ∠D are two pairs of opposite angles.
Adjacent Sides: Two sides of a quadrilateral would be adjacent if the sides have a common vertex. In the figure given above, side AB and BC; side BC and CD; side CD and DA; side DA and AB are the four pairs of adjacent sides and are also called consecutive sides.
Adjacent Angles: Two angles of a quadrilateral will be called adjacent angles if they have a common side or an arm. In the figure above, ∠A and ∠B; ∠B and ∠C, ∠C and ∠D; ∠D and ∠A are the four pairs of adjacent angles, also called consecutive angles.
Types Of Quadrilateral
There are basically six types of quadrilaterals. They are as follows,
Parallelogram: A quadrilateral with its opposite sides congruent and parallel to each other. In a parallelogram, the opposite angles are also congruent with one another.
Rectangle: A rectangle is a quadrilateral with its opposite sides equal, and all the angles are at right angles(900).
Square: A square is a form of quadrilateral that has all its four sides equal, opposite sides are parallel, and all the angles are at right angles(900).
Rhombus: A rhombus is a quadrilateral has all its sides equal, and its diagonals bisect each other at 900.
Trapezium: A trapezium is a quadrilateral with only one pair of parallel sides, and the two sides are nonparallel. The sides might not be equal to each other.
Kite: A Kite is a quadrilateral form with two pairs of equal adjacent sides and unequal opposite sides.
Quadrilateral Angles
A quadrilateral has four angles. The total of all the angles of the quadrilateral is 360°.
The total of all the angles of the □ABCD ∠A +∠B + ∠C + ∠D = 360°.
The measure of all the angles in a square and rectangle is 90°.
Therefore, ∠A = ∠B = ∠C = ∠D = 90°.
Angle Sum Property of Quadrilateral Theorem
The total of the measures of four angles of a quadrilateral is 360
i.e ∠ABC + ∠BCD + ∠CDA + ∠DAB = 360°.
Benefits Of Understanding Quadrilaterals Class 8 Notes By Extramarks
These notes of understanding Quadrilaterals Class 8 Notes were prepared by our experts at Extramarks. They contain formulae, definitions, diagrams, and quick explanations of all the important concepts that make it easier for the school students to understand the topics.
These highlighted notes contain easy language, and appropriate reference images help students to remember and master them easily.
If you haven’t downloaded the CBSE Class 8 Mathematics Revision Notes for Chapter 3 Understanding Quadrilaterals yet, then you’re losing out on the opportunity of studying from the free downloadable expertcurated accurate study material. Moreover, if you download the free PDF of these Maths revision notes and study them carefully, you will be able to guide your preparation in the right direction with boosted confidence.
FAQs (Frequently Asked Questions)
1. What are the elements of a quadrilateral?
There are various components of the quadrilateral. The segments that link the vertices are called sides. Vertices are the intersections of two adjacent sides. Two quadrilateral angles that have no common arm are called opposite angles. Diagonals are made by joining the vertices on opposing sides of a line segment. Adjacent angles mean two quadrilateral angles that share a common arm.
2. What are the different types of quadrilaterals?
Quadrilaterals are divided into six categories. A parallelogram is a form of quadrilateral that has its opposite sides congruent and parallel to each other. A rectangle is a quadrilateral with its opposite sides equal, and all the angles are at right angles(90°). A square is a quadrilateral form with all four sides equal, opposite sides parallel, and all the angles at right angles (90°). A rhombus is a quadrilateral with equal sides, and its diagonals bisect each other at 90°. A trapezium is a form of a quadrilateral with only one pair of parallel sides, and the two sides are nonparallel. Finally, a Kite is a quadrilateral form with two pairs of equal adjacent sides and unequal opposite sides.
3. What do you mean by Rectangle?
A quadrilateral with its opposite sides equal and all the angles at right angles(900) is known as a rectangle.
4. What do you mean by Trapezium?
A quadrilateral with only one pair of parallel sides, and the two sides are nonparallel, is known as a trapezium. The sides might not be equal to each other.