Chapter 18-Practical Geometry (Constructions)


Introduction

Chapter 18 focuses on Practical Geometry (Constructions)—a hands-on mathematical topic that involves drawing geometrical figures accurately using a compass, ruler, and protractor. This chapter helps students apply theoretical geometry to real constructions.

Key Topics in the Chapter

This chapter teaches how to:

  • Construct different types of triangles

  • Draw quadrilaterals using given conditions

  • Bisect a line segment or an angle

  • Construct perpendiculars and parallels

  • Apply geometric properties in accurate drawings

Each construction follows a clear, step-by-step method that allows students to visualize and verify geometric relationships.

Importance of Practical Geometry

Practical geometry connects mathematics to real-life applications like architectural drawing, engineering designs, and technical drafting. Students develop precision, logical reasoning, and patience through consistent practice.

Stepwise Solutions for Accuracy

The RD Sharma Class 8 Maths Solutions for this chapter guide students through every step of construction with detailed explanations. Each diagram is supported by reasoning to help students understand why a particular method is used.

Tools Required

To perform constructions effectively, students should have:

  • Compass

  • Scale (ruler)

  • Protractor

  • Pencil and eraser

These instruments help achieve accurate angles, lengths, and symmetry.

Learning Benefits

  • Develops spatial visualization skills

  • Encourages logical and procedural thinking

  • Improves accuracy in geometric drawing

  • Strengthens understanding of geometric properties

Conclusion

Chapter 18 – Practical Geometry (Constructions) is essential for building a solid base in geometry. The detailed solutions and constructions in RD Sharma help students gain confidence in creating precise geometric figures.

Download the PDF of all the exercises for Chapter 18, Practical Geometry (Constructions)

RD Sharma Solutions for Class 8 Chapter 18 Practical Geometry (Constructions)