Class 6 Mathematics

Chapter 14: Practical Geometry

STAGE 0: Foundation

Practical geometry helps us draw shapes accurately 😊

Instead of imagining figures, we construct them using simple tools.

In this chapter, we learn to use:

Ruler
Compass
Protractor

STAGE 1: Geometrical Instruments

Ruler (Scale)

A ruler is used to draw straight lines and measure length.

Compass

A compass is used to draw circles and arcs.

Protractor

A protractor is used to measure and draw angles.

STAGE 2: Basic Constructions

Drawing a Line Segment

Steps:

Place the ruler on paper
Mark two points
Join the points using ruler

Drawing a Circle

Steps:

Fix the compass at the centre
Open the compass to required radius
Rotate the compass to draw a circle

Drawing an Angle

Steps:

Draw a base line
Place protractor at the vertex
Mark the required angle
Join the point to form the angle

STAGE 3: Solved Examples

Example 1:
Draw a line segment of length 6 cm.

Solution:
Use a ruler and mark two points 6 cm apart. Join them with a straight line.

Example 2:
Draw a circle of radius 4 cm.

Solution:
Fix compass at centre, open it to 4 cm, and draw the circle.

Example 3:
Draw an angle of 60°.

Solution:
Use a protractor to mark 60° and draw the angle.

STAGE 4: Practice Questions

1. Draw a line segment of length 5 cm.
2. Draw a circle of radius 3 cm.
3. Draw an angle of 90°.
4. Name the instrument used to draw circles.
5. Name the instrument used to measure angles.

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