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Syllabus

Reflection — Syllabus

ICSE · Class 10 · Mathematics

What Reflection covers in ICSE Class 10 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 10 Mathematics syllabus.

36 questions24 flashcards4 formulas & key relations5 concepts

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A labeled diagram showing the XOX' and YOY' axes, origin, and four quadrants in a Cartesian coordinate system.
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4 Topics · ICSE Class 10 Mathematics · 2026-27

Topics in Reflection

1

1. Cartesian System and Coordinates

  • X'OX and YOY are two mutually perpendicular lines that divide the cartesian plane into four quadrants.
  • X-axis and Y-axis taken together are called co-ordinate axes.
  • The point of intersection of the axes is the origin O.
2

2. Reflection and Axis of Reflection

  • When an object is seen in a mirror, its image is obtained on the other side of the mirror, called its reflection.
  • The distance of the image from the mirror is equal to the distance of the object from the mirror.
  • The mirror line is perpendicular to the line joining the object and its image.
3

3. Reflection in a Line Parallel to X-axis

  • A line parallel to X-axis has equation y = a.
  • The value of a is positive if the line lies above the X-axis and negative if it lies below the X-axis.
  • For reflection in line y = a, the x-coordinate stays the same.
4

4. Reflection in a Line Parallel to Y-axis

  • A line parallel to Y-axis has equation x = a.
  • The value of a is positive if the line lies to the right of the Y-axis and negative if it lies to the left.
  • For reflection in line x = a, the y-coordinate stays the same.

Key Concepts

Central concept: Reflection in coordinate geometry

Cartesian system of coordinatesReflection in X-axisReflection in Y-axisReflection in line y equals aReflection in line x equals aReflection in the originInvariant pointMidpoint property

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Frequently Asked Questions

What are the important topics in Reflection for ICSE Class 10 Mathematics?
Key topics in Reflection include Cartesian System and Coordinates, Reflection and Axis of Reflection, Reflection in a Line Parallel to X-axis, Reflection in a Line Parallel to Y-axis. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How should I revise Reflection for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 36 practice questions on Reflection. 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.

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All ICSE Class 10 Mathematics Syllabus

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