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Syllabus

Constructions

ICSE · Class 7 · Mathematics

Complete topic list for Constructions in ICSE Class 7 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

54 questions31 flashcards5 concepts

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4 Topics · ICSE Class 7 Mathematics

Topics in Constructions

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1. Construction of Angles

  • An angle congruent to a given angle is copied using the same arc radius at both vertices and then matching the arc distance.
  • An angle can be bisected into two equal parts.
  • A 60° angle is constructed by drawing equal arcs from two points on a line segment.
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2. Special Constructions

  • The perpendicular bisector of a line segment cuts the segment into two equal parts at 90°.
  • Every line segment has one and only one perpendicular bisector.
  • To construct a perpendicular to a line at a point on it, first construct 90° at that point.
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3. Construction of Triangles

  • A triangle can be constructed when three sides are given, if the sum of any two sides is greater than the third side.
  • A triangle can be constructed when two sides and the included angle are given.
  • A triangle can be constructed when two angles and the included side are given.
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4. Isosceles and Equilateral Triangles

  • In an isosceles triangle, the base angles are equal.
  • The vertex angle is the angle between the two equal sides.
  • An isosceles triangle can be constructed when the base and one base angle are given.

Key Concepts

Central concept: Constructions in Mathematics

Construction of anglesSpecial constructionsConstruction of trianglesConstruction of isosceles trianglesConstruction of equilateral trianglesConstruction of right-angled trianglesCircumcircle and incircle

Frequently Asked Questions

What are the important topics in Constructions for ICSE Class 7 Mathematics?
Constructions covers several key topics that are frequently asked in ICSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Constructions — ICSE Class 7 Mathematics?
Understand the core concepts first, then work through the 54 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 25 chapters — ICSE Class 7 Mathematics Syllabus

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