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Reflection

ICSE · Class 10 · Mathematics

Complete topic list for Reflection in ICSE Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

36 questions24 flashcards5 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

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

Frequently Asked Questions

What are the important topics in Reflection for ICSE Class 10 Mathematics?
Reflection covers several key topics that are frequently asked in ICSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Reflection — ICSE Class 10 Mathematics?
Understand the core concepts first, then work through the 36 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 Reflection

All 22 chapters — ICSE Class 10 Mathematics Syllabus

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