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Revision Notes

Constructions — Revision Notes

ICSE · Class 6 · Mathematics

Constructions revision notes for ICSE Class 6 Mathematics: 4 topics in quick points. Part of the ICSE Class 6 Mathematics syllabus.

123 questions30 flashcards5 concepts

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Key Topics to Revise

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1. Basic Constructions Using Ruler and Compass

  • We can copy any given angle using a compass and ruler.
  • An angle can be bisected (divided into two equal parts) using compass arcs.
  • We can construct standard angles like 60°, 90°, 45°, 30°, 120°, and others step by step.
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2. Constructing Standard Angles

  • 60° angle: Draw an arc from point O, then another arc from the intersection point to form an equilateral triangle.
  • 90° angle: Can be made by constructing perpendiculars or combining 60° and 30°.
  • 45° angle: Bisect a 90° angle.
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3. Perpendiculars and Bisectors

  • Perpendicular bisector: A line that cuts a segment into two equal parts at 90°.
  • To draw a perpendicular from a point on a line: Use equal arcs on both sides and intersect above.
  • To draw a perpendicular from a point outside a line: Draw intersecting arcs from two points on the line.
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4. Construction of Triangles

  • A triangle can be constructed if we know: three sides (SSS), two sides and included angle (SAS), or two angles and included side (ASA).
  • The sum of any two sides must be greater than the third side (triangle inequality).
  • The sum of all angles in a triangle is always 180°.

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Full Notes

Key Concepts

We can copy any given angleTo bisect an angleUsing a compassTo draw the perpendicular bisectorTriangles can be constructed when we

Frequently Asked Questions

What are the important topics in Constructions for ICSE Class 6 Mathematics?
Key topics in Constructions include Basic Constructions Using Ruler and Compass, Constructing Standard Angles, Perpendiculars and Bisectors, Construction of Triangles. Study these first, then practise questions on each for Class 6 exams.
How should I revise Constructions for Class 6 exams?
Learn the core ideas first, then work through the 123 practice questions on Constructions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Constructions

All ICSE Class 6 Mathematics Revision Notes

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