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Chapter Summary

Symmetry

ICSE · Class 7 · Mathematics

Summary of Symmetry for ICSE Class 7 Mathematics. Key concepts, important points, and chapter overview.

61 questions25 flashcards5 concepts

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Overview

Symmetry is a property of a figure in which two parts match exactly. A figure is symmetric about a line if that line divides it into two identical parts, and folding the figure about that line makes the two parts coincide exactly. Symmetry also appears in reflection and rotation, where shapes keep t

Key Concepts

A line of symmetry is

A line of symmetry is a line passing through a figure that divides it into two identical parts. When the figure is folded along this line, both parts

A line segment is symmetrical about

A line segment is symmetrical about its perpendicular bisector. An angle with equal arms is symmetrical about the bisector of the angle. A scalene tri

Reflection means finding the mirror image

Reflection means finding the mirror image of a point across a line or axis. In the x-axis, the y-value changes sign and the image of P(x, y) is P'(x,

The point (3

The point (3, 0) remains (3, 0) when reflected in the x-axis. The image of (3, 0) in the y-axis is (-3, 0). The point (0, 0) remains (0, 0) in reflect

Rotation means turning a figure about

Rotation means turning a figure about a fixed point. The fixed point is called the centre of rotation. During rotation, the shape and size of the figu

Learning Objectives

  • Understand the meaning of symmetry and line of symmetry
  • Identify line symmetry in common figures
  • Recognize figures with no line of symmetry, one line, two lines, three lines, or infinite lines of symmetry
  • Find reflections of points in the x-axis, y-axis, and origin
  • Understand rotation, centre of rotation, and rotational symmetry

Frequently Asked Questions

What are the important topics in Symmetry for ICSE Class 7 Mathematics?
Symmetry 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 Symmetry — ICSE Class 7 Mathematics?
Understand the core concepts first, then work through the 61 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.

More resources for Symmetry

All 25 chapters — ICSE Class 7 Mathematics Chapter Summary

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