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Important Questions Class 8 Maths Chapter 4 – Practical Geometry
Chapter 4 of Class 8 Maths is about ‘Practical Geometry’ and starts with basic elements of understanding geometrical shapes.
Quick Links
ToggleA quadrilateral is a closed twodimensional shape with four sides and four angles. It is a foursided closed shape such as a square, rectangle, rhombus, parallelogram, trapezium, etc. In order to construct a quadrilateral uniquely, it is essential to know at least five of its parts.
Five mandatory parts to construct a quadrilateral may be:
 The four sides and diagonal
 Three sides and two diagonals
 Four sides and an angle
 Three sides and two included angles
 Two adjacent sides and three angles
Extramarks is the best study mate for students and helps them with comprehensive online study solutions from classes 1 to 12. Our Maths subject experts have prepared a variety of NCERT solutions to help students in their studies and exam preparation. Students can refer to our practical geometry class 8 extra questions to practise examoriented questions. We have collated questions from various sources such as NCERT textbooks and exemplars, CBSE sample papers, CBSE past years’ question papers, etc. Students can prepare well for their exams and tests by solving a variety of chapter questions from our Important Questions Class 8 Maths Chapter 4.
Extramarks believes in incorporating joyful learning experiences through its own repository. To get maximum benefit during exam preparations, students can register on our platform Extramarks website and get full access to Important Questions Class 8 Maths Chapter 4 and other study materials, including NCERT solutions, CBSE revision notes, etc.
Get Access to CBSE Class 8 Maths Important Questions 202223 with ChapterWise Solutions
You can also find CBSE Class 8 Maths ChapterbyChapter Important Questions here:
CBSE Class 8 Maths Important Questions  
Sr No.  Chapters  Chapters Name 
1  Chapter 1  Rational Numbers 
2  Chapter 2  Linear Equations in One Variable 
3  Chapter 3  Understanding Quadrilaterals 
4  Chapter 4  Practical Geometry 
5  Chapter 5  Data Handling 
6  Chapter 6  Squares and Square Roots 
7  Chapter 7  Cubes and Cube Roots 
8  Chapter 8  Comparing Quantities 
9  Chapter 9  Algebraic Expressions and Identities 
10  Chapter 10  Visualising Solid Shapes 
11  Chapter 11  Mensuration 
12  Chapter 12  Exponents and Powers 
13  Chapter 13  Direct and Inverse Proportions 
14  Chapter 14  Factorisation 
15  Chapter 15  Introduction to Graphs 
16  Chapter 16  Playing with Numbers 
Practical Geometry Class 8 Extra Questions with Answers
Our inhouse Maths faculty experts have collated an entire list of Important Questions Class 8 Maths Chapter 4 by referring to various sources. For each question, the team has prepared a stepbystep explanation that will help students understand the concepts used in each question. Also, the questions are chosen in a way that would cover full chapter topics. So by practising from our question bank, students will be able to revise the chapter and understand their strong and weak points. And improve their preparation by further focusing on weaker sections of the chapter.
Given below are a few of the questions and answers from our question bank of Important Questions Class 8 Maths Chapter 4:
Question 1: Construct a Quadrilateral PLAN with PL = 4 cm LA = 6.5 cm ∠P = 90° ∠A = 110° ∠N = 85°.
Answer 1: The sum of four angles of a quadrilateral is 360°.
In quadrilateral PLAN,
∠P + ∠L + ∠A + ∠N = 360°
90° + ∠L + 110° + 85° = 360°
285° + ∠L = 360°
∠L = 360° − 285° = 75°
 PLAN is the required quadrilateral
Question 2: A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm.
Answer 2: Opposite sides of a parallelogram are equal and parallel to each other. The given parallelogram OKAY can be drawn as follows.
Rough figure
(1) Draw a line segment OK of 5.5 cm and a ray at point K at a convenient angle.
(2) Draw a ray at point O parallel to the ray at K. As the vertices, A and Y, are 4.2 cm away from the vertices K and O respectively, cut line segments KA and OY, each of 4.2 cm, from these rays.
(3) Join Y to A.
OKAY is the required rectangle.
Question 3: Construct a Rhombus BEND with BN = 5.6 cm DE = 6.5 cm.
Answer 3: The diagonals of any rhombus bisect each other exactly at a right angle.
Considering that these diagonals intersect each other at a point O in the rhombus.
Thus , EO = OD = 3.25 cm.
Here is a rough diagram of the rhombus BEND:
Step 1: Draw a line segment BN of 5.6 cm and also draw its perpendicular bisector. It will intersect the line segment BN at point O.
Step 2: Taking O as the centre, arcs of 3.25 cm radius should be drawn for the perpendicular bisector should be intersected at points D and E.
Step 3: Join points D and E to points B and N.
BEND is the required rhombus.
Question 4: The square READ with side RE = 5.1 cm
Answer 4: All the sides of a square are of the same measure, and also all the interior angles of a square are of 90º measure. Therefore, the given square READ can be drawn as follows.
Rough diagram:
(1) Draw a line segment RE of 5.1 cm and an angle of 90º at point R and E.
(2) As vertex A and D are 5.1 cm away from vertex E and R respectively, cut line segments EA and RD, each of 5.1 cm from these rays.
(3) Join D to A
 READ is the required quadrilateral
Question 5: Construct a quadrilateral ABCD where AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm.
Answer 5:
 ABCD is the required quadrilateral
Question 6: Construct a quadrilateral JUMP where JU = 3.5 cm UM = 4 cm MP = 5 cm PJ = 4.5 cm PU = 6.5 cm.
Answer 6:
 JUMP is the required quadrilateral
Question 7: Construct the following quadrilaterals
Quadrilateral TRUE TR = 3.5 cm
RU = 3 cm UE = 4 cm
∠R = 75°
∠U = 120°
Answer 7: Rough Figure:
(1) Drawing a line segment RU of 3 cm and then making an angle of 120º at point U. As vertex E is 4 cm away from vertex U, cutting a line segment UE of 4 cm from this ray.
(2) Next, drawing an angle of 75º at point R. As vertex T is 3.5 cm away from vertex R, cutting a line segment RT of 3.5 cm from this ray.
(3) Joining T to E.
 TRUE is the required quadrilateral
Benefits Of Solving Class 8 Maths Chapter 4 Important Questions
Maths is an elemental subject that needs consistent practice and understanding to be able to solve numerous different questions. By solving class 8 practical geometry extra questions, students can get clarity about the basics of the chapter Practical Geometry. You can easily find the important questions of Class 8 Maths Chapter 4 on the Extramarks website by registering on our website.
Some other benefits of solving important questions Class 8 Maths Chapter 4 are:
 Class 8 Maths Chapter 4 important questions provide information about the types of questions that may be asked in exams, which helps to minimise stress and anxiety level..
 Studying something just once may help you grasp the concepts, but going over it again will help you remember it. Your chances of getting good grades on exams increase as you solve more important questions Class 8 Maths Chapter 4
 The questions and solutions provided are based on the latest CBSE syllabus and as per CBSE guidelines. So the students can completely count on it.
 By solving our Chapter 4 Class 8 Maths important questions, students will get a gist of how the paper will be prepared. Practising questions similar to the exam questions would help the students gain confidence, perform better in their exams, and eventually ace them.
Extramarks provides comprehensive learning solutions for students from Classes 1 to 12. Our website has a repository of abundant resources, with important questions and solutions. Students can click on the links given below to access some of these resources:
Q.1 Construct a quadrilateral ABCD where AB = 3 cm, BC = 5 cm, CD = 4 cm, DA = 7 cm, and AC = 12 cm.
Marks:3
Ans
To construct a quadrilateral ABCD, given that AB = 3 cm, BC = 5 cm, CD = 4 cm, DA = 7 cm, and AC = 12 cm.
Steps to be followed:
Step1: Draw a line AC =12 cm
Step2: Draw an arc of length 3 cm from A and an arc of length 5 cm from C to intersect at a point B.
Step 3: Draw an arc of length 4 cm from C and an arc of length 7 cm from A on the opposite side of AC to intersect at a point D.
Step4: Join AB, BC, CD, and DA.
Q.2 Construct a rectangle with adjacent sides of lengths 5 cm and 7 cm.
Marks:3
Ans
Steps to construct:
1. Draw AB = 7 cm
2. At A, draw AY ? AB
3. With A as a centre and radius 5 cm, describe an arc cutting AY at D.
4. With D as centre and radius equal to 7 cm, and B as centre and radius 5 cm, draw arcs intersecting at C.
5. Join BC and DC. ABCD is the required rectangle.
Q.3 Construct a square of side 3 cm.
Marks:3
Ans
Steps to construct:
 Draw AB = 3 cm
 At A, draw AY ? AB
 With A as a centre and radius 3 cm, describe an arc cutting AY at D.
 With B and D as centres and radii equal to 3 cm, draw arcs intersecting at C.
 Join BC and DC. ABCD is the required square.
Q.4 Construct a rhombus ABCD where AC = 5.2 cm and BD = 6.4 cm.
Marks:4
Ans
In a rhombus, diagonals bisect each other at 90Âº. Therefore, the given rhombus ABCD can be drawn as follows:
(1) Draw a line segment AC of 5.2 cm and draw its perpendicular bisector. Let it intersect the line segment AC at point O.
(2) Draw arcs of 3.2 cm on both sides of this perpendicular bisector. Let the arcs intersect the perpendicular bisector at points B and D.
(3) Join points B and D with points A and C.
ABCD is the required rhombus.
Q.5 Construct the parallelogram ABCD with AB = 3.5 cm, BC = 4 cm and AC = 6.5 cm.
Marks:3
Ans
The parallelogram can be drawn as follows:
Step1: Draw line segment AC of 6.5 cm.
Step 2: With A as centre and AB (= 3.5 cm) as radius, draw an arc.
Step 3: With C as centre and BC (= 4 cm) as radius, draw another arc to intersect the arc of step 2 at B. Join AB and BC.
Step 4: With A as centre and AD (= 4 cm) as radius, draw an arc on the opposite side of AC.
Step 5: With C as centre and CD (= 3.5 cm) radius, draw another arc to intersect the arc drawn in step 4 at D. Join AD and CD.
ABCD is the required parallelogram.
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CBSE Class 8 Maths Important Questions
FAQs (Frequently Asked Questions)
1. Who invented practical geometry?
Euclid was a great mathematician and often called the father of geometry
2. What can I get from the Extramarks website?
Extramarks is one of the best educational platforms as it has its own archive of its educational resources, which assists students in acing their exams. You can get all the NCERTrelated material like NCERT solutions, solved exemplar solutions, NCERTbased mock tests, CBSE revision notes, and important questions of Class 8 Maths Chapter 4 on the Extramarks website. Apart from this, you can get comprehensive guidance from our subject experts and doubtclearing sessions once you sign up on our official website for any study resources.
3. Where can I get important questions for Class 8 Maths Chapter 4 online?
On the Extramarks website, you can find all the important questions for Class 8 Maths Chapter 4, along with their answers. On the website, you can also find many other NCERTbased study solutions for Classes 1 to 12.
4. How many total chapters are there in Class 8 Maths?
There are a total of 16 chapters in Class 6 Maths. The list is given below:
 Chapter 1 Rational Numbers
 Chapter 2 – Linear Equations in One Variable
 Chapter 3 – Understanding Quadrilaterals
 Chapter 4 – Practical Geometry
 Chapter 5 – Data Handling
 Chapter 6 – Square and Square Roots
 Chapter 7 – Cube and Cube Roots
 Chapter 8 – Comparing Quantities
 Chapter 9 – Algebraic Expressions and Identities
 Chapter 10 – Visualising Solid Shapes
 Chapter 11 Mensuration
 Chapter 12 – Exponents and Powers
 Chapter 13 – Direct and Inverse Proportions
 Chapter 14 – Factorisation
 Chapter 15 – Introduction to Graphs
 Chapter 16 – Playing with Numbers