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Chapter Summary

Symmetry (Including Reflection and Rotation)

ICSE · Class 8 · Mathematics

Summary of Symmetry (Including Reflection and Rotation) for ICSE Class 8 Mathematics. Key concepts, important points, and chapter overview.

47 questions30 flashcards5 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?
Symmetry (Including Reflection and Rotation) covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Symmetry (Including Reflection and Rotation) — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 47 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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