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Chapter Summary

Constructions — Chapter Summary

ICSE · Class 7 · Mathematics

Summary of Constructions for ICSE Class 7 Mathematics. Key concepts: To copy an angle, An angle is bisected by and 60° is made by an equilateral.

54 questions31 flashcards7 formulas & key relations5 concepts

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Overview

Constructions in geometry use a ruler and compasses to make exact angles, line segments, triangles, perpendiculars, parallels, and circles related to triangles. The chapter covers the basic methods for copying and bisecting angles, drawing special angles such as 60°, 90°, 45°, 120°, 135°, and 75°, c

Key Concepts

To copy an angle

To copy an angle, the same radius is used to draw arcs at the original vertex and the new vertex. The distance between the two points where the first

An angle is bisected by drawing

An angle is bisected by drawing equal arcs from the two arm points of the angle, using a radius more than half of the distance between those points, a

60° is made by an equilateral

60° is made by an equilateral-triangle method, 90° by a perpendicular construction, 45° by bisecting 90°, 120° by extending the 60° construction, 135°

A perpendicular bisector cuts a segment

A perpendicular bisector cuts a segment into two equal parts at a right angle. The intersecting arcs must be drawn on both sides of the segment with r

A perpendicular can be drawn through

A perpendicular can be drawn through a point on a line by constructing a 90° angle, or from a point outside a line by using equal arcs from the points

Learning Objectives

  • Construct an angle equal to a given angle using ruler and compasses
  • Bisect a given angle into two equal parts
  • Construct special angles such as 60°, 90°, 45°, 120°, 135°, and 75°
  • Construct the perpendicular bisector of a line segment
  • Draw a perpendicular to a line through a point on it or outside it

Frequently Asked Questions

What are the important topics in Constructions for ICSE Class 7 Mathematics?
Key topics in Constructions include Construction of Angles, Special Constructions, Construction of Triangles, Isosceles and Equilateral Triangles. Study these first, then practise questions on each for Class 7 exams.
How should I revise Constructions for Class 7 exams?
Learn the core ideas first, then work through the 54 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 7 Mathematics Chapter Summary

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