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Mathematics Class 6 - Practical Geometry Notes

Comprehensive study notes for Class 6 - Practical Geometry olympiad preparation

Practical Geometry

Welcome to the chapter on Practical Geometry for Class 6. In this chapter, you will learn how to use tools like a ruler, compass, and protractor to draw and measure lines, angles, and shapes. By the end of this chapter, you will be able to construct basic geometric figures and understand their properties!

Introduction

Practical geometry is about drawing and measuring shapes using special tools. You will use a ruler to draw straight lines, a compass to draw circles and arcs, and a protractor to measure angles.

Tools Used in Practical Geometry

  • Ruler: Used to draw and measure straight lines.
  • Compass: Used to draw circles and arcs.
  • Protractor: Used to measure and draw angles.
  • Divider: Used to compare lengths.

Drawing a Line Segment

To draw a line segment of a given length:

  • Use a ruler to mark two points.
  • Join the points with a straight line.
  • Label the ends, for example, AB.

Drawing Circles

To draw a circle of a given radius:

  • Place the compass point on the center.
  • Open the compass to the required length using a ruler.
  • Rotate the compass to draw the circle.

Measuring and Drawing Angles

To measure or draw an angle:

  • Place the protractor on the vertex.
  • Align one side with the zero line.
  • Mark the required angle and draw the other side.

Constructing Perpendiculars and Bisectors

  • Use a compass to construct a perpendicular bisector of a line segment.
  • Draw arcs from both ends of the segment and join their intersection points.

Fun Activity: Geometry Art!

Use your ruler and compass to create patterns with circles and lines. Try making a flower or a star!

Summary

  • Practical geometry uses tools to draw and measure shapes.
  • You can draw lines, circles, and angles using a ruler, compass, and protractor.
  • Practice helps you make accurate constructions.

Practice Questions

  1. Draw a line segment of length 7 cm.
  2. Draw a circle with radius 3 cm.
  3. Use a protractor to draw an angle of 60°.
  4. Construct the perpendicular bisector of a 6 cm line segment.
  5. Draw two intersecting lines and measure the angles formed.

Challenge Yourself

  • Draw a triangle with sides 5 cm, 6 cm, and 7 cm.
  • Construct a circle and draw its diameter and radius.

Did You Know?

  • The compass was invented over 2,000 years ago!
  • Geometry is used in art, architecture, and engineering.

Glossary

  • Line Segment: A straight path between two points.
  • Radius: The distance from the center of a circle to its edge.
  • Angle: The space between two lines that meet at a point.
  • Bisector: A line that divides something into two equal parts.

Answers to Practice Questions

  1. Use a ruler to draw a line segment of 7 cm and label its ends.
  2. Use a compass to draw a circle with a radius of 3 cm.
  3. Place the protractor on a point and mark 60°, then draw the angle.
  4. Draw arcs from both ends of the segment and join their intersection points to bisect.
  5. Draw two lines that cross and use a protractor to measure the angles.

Practice practical geometry to become skilled at drawing and measuring shapes!

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