# CBSE - Class 08 - Mathematics - Practical Geometry - NCERT Solutions

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## NCERT Solutions for Mathematics Practical Geometry

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**NCERT solutions for class 8 Mathematics Practical Geometry**

**NCERT 8 Mathematics Text book Solutions**

NCERT 8th class Mathematics book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 Mathematics chapter wise NCERT solution for Mathematics for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

**NCERT Class 8 Mathematics Chapter-wise Solutions**

- 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 Squares and Square Roots
- Chapter 7 Cubes 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

**CBSE class 8th Mathematics have one books. Book has chapters and topics.**

**NCERT Mathematics Book Class 8**

Here is the list of topics covered under each chapter of class 8 Mathematics NCERT text book.

**1. Rational Numbers**

- Exercise 1.1
- Exercise 1.2

**2. Linear Equations in One Variable**

- Exercise 2.1
- Exercise 2.2
- Exercise 2.3
- Exercise 2.4
- Exercise 2.5
- Exercise 2.6

**3. Understanding Quadrilaterals**

- Exercise 3.1
- Exercise 3.2
- Exercise 3.3
- Exercise 3.4

**4. Practical Geometry**

- Exercise 4.1
- Exercise 4.2
- Exercise 4.3
- Exercise 4.4
- Exercise 4.5

**5. Data Handling**

- Exercise 5.1
- Exercise 5.2
- Exercise 5.3

**6. Squares and Square Roots**

- Exercise 6.1
- Exercise 6.2
- Exercise 6.3
- Exercise 6.4

**7. Cubes and Cube Roots**

- Exercise 7.1
- Exercise 7.2

**8. Comparing Quantities**

- Exercise 8.1
- Exercise 8.2
- Exercise 8.3

**9. Algebraic Expressions and Identities**

- Exercise 9.1
- Exercise 9.2
- Exercise 9.3
- Exercise 9.4
- Exercise 9.5

**10. Visualising Solid Shapes**

- Exercise 10.1
- Exercise 10.2
- Exercise 10.3

**11. Mensuration**

- Exercise 11.1
- Exercise 11.2
- Exercise 11.3
- Exercise 11.4

**12. Exponents and Powers**

- Exercise 12.1
- Exercise 12.2

**13. Direct and Inverse Proportions**

- Exercise 13.1
- Exercise 13.2

**14. Factorisation**

- Exercise 14.1
- Exercise 14.2
- Exercise 14.3
- Exercise 14.4

**15. Introduction to Graphs**

- Exercise 15.1
- Exercise 15.2
- Exercise 15.3

**16. Playing with Numbers**

- Exercise 16.1
- Exercise 16.2

**NCERT Solution Chapter 4: Practical Geometry**

You have learnt how to draw triangles in Class VII. We require three measurements (of sides and angles) to draw a unique triangle. Since three measurements were enough to draw a triangle, a natural question arises whether four measurements would be sufficient to draw a unique four sided closed figure, namely, a quadrilateral. Take a pair of sticks of equal lengths, say 10 cm. Take another pair of sticks of equal lengths, say, 8 cm. Hinge them up suitably to get a rectangle of length 10 cm and breadth 8 cm. This rectangle has been created with the 4 available measurements. Now just push along the breadth of the rectangle. Is the new shape obtained, still a rectangle? Observe that the rectangle has now become a parallelogram. Have you altered the lengths of the sticks? No! The measurements of sides remain the same. Give another push to the newly obtained shape in a different direction; what do you get? You again get a parallelogram, which is altogether different, yet the four measurements remain the same. This shows that 4 measurements of a quadrilateral cannot determine it uniquely. Can 5 measurements determine a quadrilateral uniquely? Let us go back to the activity!

You have constructed a rectangle with two sticks each of length 10 cm and other two sticks each of length 8 cm. Now introduce another stick of length equal to BD and tie it along BD. If you push the breadth now, does the shape change? No! It cannot, without making the figure open. The introduction of the fifth stick has fixed the rectangle uniquely, i.e., there is no other quadrilateral (with the given lengths of sides) possible now. Thus, we observe that five measurements can determine a quadrilateral uniquely. But will any five measurements (of sides and angles) be sufficient to draw a unique quadrilateral?

**NCERT Solutions for Class 8th Mathematics**

NCERT Solutions Class 8 Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 8 Mathematics includes text book solutions. NCERT Solutions for CBSE Class 8 Mathematics have total 16 chapters. Class 8 Mathematics ncert Solutions in pdf for free Download are given in this website. Ncert Mathematics class 8 solutions PDF and Mathematics ncert class 8 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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**NCERT Solutions for Class 8**

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