Mathematics · Class 6
Practical Geometry
Construction of line segments, angles, and perpendiculars with compass and ruler.
4 sections15–25 min read6 MCQs · 2 examples
Chapter Overview
Practical geometry teaches construction using ruler and compasses — perpendiculars, perpendicular bisectors, angles (60°, 90°, 120°), and circles. Accuracy and neat labelling matter.
Tools
- Ruler (scale) for drawing straight lines
- Compass for arcs and circles
- Protractor for measuring angles
Key Constructions
- Perpendicular to a line through a point
- Perpendicular bisector of a segment
- 60° angle using compass (equilateral triangle method)
- Copying a given angle
Steps Matter
NCERT constructions require showing arcs. Don't erase construction arcs unless asked. Label points A, B, C clearly.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Example 1: Perpendicular Bisector
Construct perpendicular bisector of AB = 6 cm.
- 1Draw AB = 6 cm
- 2With centres A and B, arcs radius > 3 cm intersect above and below
- 3Join intersection points
Answer
Line through midpoint of AB at 90°
Example 2: 60° Angle
Construct ∠POQ = 60°.
- 1Draw ray OQ
- 2With O as centre, draw arc cutting OQ at A
- 3With A as centre, same radius, arc cuts first arc at B
- 4Join OB
Answer
∠POQ = 60°
Key Points to Remember
- ✓ Bisector divides segment into two equal parts
- ✓ 60° comes from equilateral triangle angles
- ✓ Keep compass width same for equal arcs
Exam Tips
- • Leave construction arcs visible
- • Write steps numbered in exam
- • Measure to verify right angles
Practice MCQs — Practical Geometry
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 6Score: 0/0
Perpendicular bisector of a segment: