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Construction of Polygons

ICSE · Class 9 · Mathematics

Complete topic list for Construction of Polygons in ICSE Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

42 questions26 flashcards5 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

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

Frequently Asked Questions

What are the important topics in Construction of Polygons for ICSE Class 9 Mathematics?
Construction of Polygons covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Construction of Polygons — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 42 practice questions available for this chapter. Revise formulas and 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 28 chapters — ICSE Class 9 Mathematics Syllabus

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