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About Symmetry — Class 6 ICSE

Explore line symmetry and reflective symmetry in shapes and patterns. This topic is part of the ICSE Class 6 mathematics syllabus (chapter: Chapter 9). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Symmetry

  • Introduction to Symmetry: What is Balance?
  • The Line of Symmetry: The Folding Line
  • Reflective Symmetry: Mirror Images
  • Symmetry in Geometric Shapes and Alphabets
  • Summary and Practice Readiness

Interactive lesson · about 15 minutes · checkpoint question after every unit

Symmetry — solved examples for Class 6 ICSE

Example 1easy

A figure that can be folded along a line so that the two halves match exactly is called a:
  1. A)Congruent figure
  2. B)Symmetrical figure
  3. C)Similar figure
  4. D)Parallel figure

Step-by-step solution

  1. A figure is called symmetrical if it can be folded along a line so that the two halves coincide exactly.
  2. The line along which the figure is folded is called the line of symmetry.

Answer: Symmetrical figure

Example 2medium

How many lines of symmetry does a rhombus have?
  1. A)0
  2. B)1
  3. C)2
  4. D)4

Step-by-step solution

  1. A rhombus has 2 lines of symmetry.
  2. The two diagonals of a rhombus are its lines of symmetry.
  3. Unlike a square, the horizontal and vertical lines through the centre are NOT lines of symmetry for a general rhombus.

Answer: 2

Example 3hard

A figure has both a horizontal and a vertical line of symmetry. What is the minimum number of lines of symmetry it must have?
  1. A)1
  2. B)2
  3. C)3
  4. D)4

Step-by-step solution

  1. If a figure has a horizontal and a vertical line of symmetry, the minimum number of lines of symmetry is 2.
  2. For example, a rectangle has exactly 2 lines of symmetry — one horizontal and one vertical.
  3. Some figures with both may have more (like a square with 4), but the minimum is 2.

Answer: 2

Practice questions on Symmetry

  1. Q1.easy

    The line along which a figure is folded so that its two halves overlap exactly is called the:
    1. A)Line of reflection
    2. B)Line of symmetry
    3. C)Parallel line
    4. D)Diagonal
    Show answer

    Answer: Line of symmetry

    Hint: This special line divides a figure into two identical halves.

  2. Q2.easy

    How many lines of symmetry does a square have?
    1. A)1
    2. B)2
    3. C)4
    4. D)8
    Show answer

    Answer: 4

    Hint: A square can be folded along horizontal, vertical, and both diagonal lines.

  3. Q3.easy

    How many lines of symmetry does a rectangle have?
    1. A)1
    2. B)2
    3. C)4
    4. D)0
    Show answer

    Answer: 2

    Hint: A rectangle can be folded along two lines but not along its diagonals.

  4. Q4.medium

    A regular octagon has how many lines of symmetry?
    1. A)4
    2. B)6
    3. C)8
    4. D)16
    Show answer

    Answer: 8

    Hint: Use the rule: a regular polygon with n sides has n lines of symmetry.

  5. Q5.medium

    Which of the following letters has both a horizontal and a vertical line of symmetry?
    1. A)A
    2. B)B
    3. C)H
    4. D)E
    Show answer

    Answer: H

    Hint: Look for a letter that looks the same when flipped both left-right and top-bottom.

  6. Q6.medium

    A point P is 5 cm from a line of symmetry. How far is the reflected image of P from the line of symmetry?
    1. A)2.5 cm
    2. B)5 cm
    3. C)10 cm
    4. D)0 cm
    Show answer

    Answer: 5 cm

    Hint: In a reflection, the image is at the same distance from the mirror line as the original point.

  7. Q7.hard

    A regular polygon has interior angles of 120 degrees each. How many lines of symmetry does it have?
    1. A)3
    2. B)4
    3. C)6
    4. D)8
    Show answer

    Answer: 6

    Hint: First find the number of sides using the formula: interior angle = (n - 2) * 180 / n.

  8. Q8.hard

    A triangle has exactly one line of symmetry. Which of the following must be true?
    1. A)All three sides are equal
    2. B)Exactly two sides are equal
    3. C)No two sides are equal
    4. D)All three angles are equal
    Show answer

    Answer: Exactly two sides are equal

    Hint: What type of triangle has exactly one line of symmetry?

  9. Q9.hard

    The point (4, -2) is reflected across the x-axis. What are the coordinates of the reflected point?
    1. A)(-4, -2)
    2. B)(4, 2)
    3. C)(-4, 2)
    4. D)(2, -4)
    Show answer

    Answer: (4, 2)

    Hint: Reflection across the x-axis changes the sign of the y-coordinate.

These are 9 of the 60 questions available for Symmetry. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.