Skip to main content
Chapter 10 of 22
Chapter Summary

Reflection

ICSE · Class 10 · Mathematics

Summary of Reflection for ICSE Class 10 Mathematics. Key concepts, important points, and chapter overview.

36 questions24 flashcards5 concepts

Interactive on Super Tutor

Studying Reflection? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.

1,000+ Class 10 students started this chapter today

A labeled diagram showing the XOX' and YOY' axes, origin, and four quadrants in a Cartesian coordinate system.
Super Tutor

Super Tutor has 12+ illustrations like this for Reflection alone — flashcards, concept maps, and step-by-step visuals.

See them all

Overview

Reflection in coordinate geometry describes the position of an image formed on the other side of a mirror line. The chapter uses the cartesian plane to study reflection in the X-axis, Y-axis, lines parallel to the axes, and the origin. The main ideas are the coordinate system, axis of reflection, in

Key Concepts

X'OX and YOY are two mutually

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-

For a point P

For a point P, OA is the X-coordinate, called the abscissa, and AP is the Y-coordinate, called the ordinate. A point has coordinates (x,y). A point on

When an object is seen

When an object is seen in a mirror, its image is obtained on the other side of the mirror, called its reflection. The mirror line is called the axis o

A point is an invariant point

A point is an invariant point with respect to a given line if and only if it lies on that line. Such a point does not change after reflection.

For a point P(x

For a point P(x,y), reflection in the X-axis gives P' = (x,-y). Only the sign of the ordinate changes. The formula is Mx(x,y) = (x,-y).

Learning Objectives

  • Understand the cartesian system of coordinates and the meaning of abscissa and ordinate.
  • Identify the X-axis, Y-axis, coordinate axes, and origin.
  • Understand reflection as image formation across a mirror line.
  • Find reflections of points in the X-axis, Y-axis, lines parallel to the axes, and the origin.
  • Use the formulas Mx(x,y) = (x,-y), My(x,y) = (-x,y), and M0(x,y) = (-x,-y).

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.

For serious students

Get the full Reflection chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 10 Mathematics.