# Important Questions for CBSE Class 8 Maths Chapter 4 – Practical Geometry

## 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.

A quadrilateral is a closed two-dimensional shape with four sides and four angles. It is a four-sided 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:

1. The four sides and diagonal
2. Three sides and two diagonals
3. Four sides and an angle
4. Three sides and two included angles
5. Two adjacent sides and three angles

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## Get Access to CBSE Class 8 Maths Important Questions 2022-23 with Chapter-Wise Solutions

You can also find CBSE Class 8 Maths Chapter-by-Chapter 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 in-house 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 step-by-step 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°.

∠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 Question 5: Construct a quadrilateral ABCD where AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm. • 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. • 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° (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.

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• 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.
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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. ## 1. Who invented practical geometry?

Euclid was a great mathematician and often called the father of geometry

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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 NCERT-based 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