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Syllabus

Construction of Polygons — Syllabus

ICSE · Class 9 · Mathematics

What Construction of Polygons covers in ICSE Class 9 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 9 Mathematics syllabus.

42 questions26 flashcards12 formulas & key relations5 concepts

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A step-by-step diagram showing the construction of a quadrilateral when four side lengths and one interior angle are provided, using a ruler and compass.
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4 Topics · ICSE Class 9 Mathematics · 2026-27

Topics in Construction of Polygons

1

1. Construction of Quadrilaterals

  • A quadrilateral is constructed by locating its four vertices.
  • A rough sketch is always the first step.
  • For a quadrilateral with four sides and one angle given, first construct one side and the given angle, then use arcs to locate the fourth vertex.
2

2. Construction of Parallelograms

  • Opposite sides of a parallelogram are equal.
  • Diagonals of a parallelogram bisect each other.
  • A parallelogram with two consecutive sides and the included angle can be built by first constructing triangle ABC and then triangle ADC.
3

3. Construction of Trapezium, Rectangle, Rhombus, and Square

  • A trapezium with four sides given is constructed by first drawing the base, then a smaller triangle, and then locating the fourth vertex using arcs.
  • A rectangle has each angle 90° and opposite sides equal.
  • A rectangle with adjacent sides is constructed by first constructing triangle ABC and then triangle ADC.
4

4. Construction of a Regular Hexagon

  • Each interior angle of a regular hexagon is 120° and its opposite sides are parallel.
  • The length of the side of a regular hexagon equals the radius of its circumcircle.
  • The angle subtended by each side of a regular hexagon at the centre of its circumcircle is 60°.

Key Concepts

Central concept: Construction of Polygons

Construction of QuadrilateralsConstruction of ParallelogramsConstruction of TrapeziumConstruction of RectanglesConstruction of RhombusConstruction of SquareConstruction of Regular HexagonConstruction Steps and Strategy

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Frequently Asked Questions

What are the important topics in Construction of Polygons for ICSE Class 9 Mathematics?
Key topics in Construction of Polygons include Construction of Quadrilaterals, Construction of Parallelograms, Construction of Trapezium, Rectangle, Rhombus, and Square, Construction of a Regular Hexagon. Study these first, then practise questions on each for Class 9 exams.
How should I revise Construction of Polygons for Class 9 exams?
Learn the core ideas first, then work through the 42 practice questions on Construction of Polygons. 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.

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All ICSE Class 9 Mathematics Syllabus

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