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Symmetry (Including Reflection and Rotation) — Chapter Summary

ICSE · Class 8 · Mathematics

Summary of Symmetry (Including Reflection and Rotation) for ICSE Class 8 Mathematics. Part of the ICSE Class 8 Mathematics syllabus.

47 questions30 flashcards5 formulas & key relations5 concepts

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Overview

Symmetry means that a figure can be folded or matched so that both parts fit exactly on each other. A figure is symmetrical about a line when folding along that line makes the two halves coincide. Reflection and rotation are two important ways in which points and figures change position while keepin

Key Concepts

A plane figure is symmetrical if

A plane figure is symmetrical if, on folding about a line on it, the two parts exactly coincide. The line about which this happens is called the line

A line segment is symmetrical about

A line segment is symmetrical about its perpendicular bisector. An angle with equal arms is symmetrical about its bisector. An isosceles triangle is s

A rectangle and a rhombus each

A rectangle and a rhombus each have two lines of symmetry. A square has four lines of symmetry. A regular pentagon has five lines of symmetry, and a r

Any line passing through the centre

Any line passing through the centre of a circle is a line of symmetry. A circle has an infinite number of lines of symmetry.

When a point P(x

When a point P(x, y) is reflected in the x-axis, the image is P'(x, -y). Only the sign of the y-coordinate changes.

Learning Objectives

  • Identify lines of symmetry in different figures
  • Understand symmetry as exact matching on folding
  • Recognize symmetry in line segments, angles, triangles, quadrilaterals, regular polygons, and circles
  • Find reflections of points in the x-axis, y-axis, and origin
  • Find rotations of points through 180°, 90° clockwise, and 90° anticlockwise about the origin

Frequently Asked Questions

What are the important topics in Symmetry (Including Reflection and Rotation) for ICSE Class 8 Mathematics?
Key topics in Symmetry (Including Reflection and Rotation) include Symmetry and Line of Symmetry, Symmetry in Common Figures, Reflection of a Point in Coordinate Axes and Origin, Rotation About the Origin. Study these first, then practise questions on each for Class 8 exams.
How should I revise Symmetry (Including Reflection and Rotation) for Class 8 exams?
Learn the core ideas first, then work through the 47 practice questions on Symmetry (Including Reflection and Rotation). 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 Symmetry (Including Reflection and Rotation)

All ICSE Class 8 Mathematics Chapter Summary

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