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Revision Notes

Construction of Polygons — Revision Notes

ICSE · Class 9 · Mathematics

Construction of Polygons revision notes for ICSE Class 9 Mathematics: 4 topics in quick points. 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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Key Topics to Revise

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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.
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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.
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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.
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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°.

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Full Notes

Key Concepts

Constructing a quadrilateral means locating itsOne side is drawn firstA base side is drawnUsing given dimensionsA first triangle is built

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 Revision Notes

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