How many lines of symmetry does a circle have?

A circle has infinite lines of symmetry. Any diameter of a circle is a line of symmetry because it divides the circle into two identical halves.

What is reflection symmetry?

Reflection symmetry (also called mirror symmetry) means a figure can be divided by a line so that one half is the mirror image of the other. The dividing line is called the line of symmetry or axis of symmetry.

Does a parallelogram have a line of symmetry?

No. A general parallelogram has no line of symmetry. However, special parallelograms like rectangles (2 lines), rhombuses (2 lines) and squares (4 lines) do have lines of symmetry.

Worksheets

Symmetry Class 6 CBSE Worksheet Free PDF Download with Answers

Explore lines of symmetry, reflection symmetry and pattern completion. 60 visual questions that train your geometric eye.

CBSEClass 6

SparkEd Team4 April 20266 min read

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45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!

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Symmetry Is All Around You

$Look at a butterfly. Fold it down the middle and both halves match. That fold line is a line of symmetry. You will find symmetry in leaves, buildings, rangoli designs, the Taj Mahal, and even the letters of the alphabet.$

$Symmetry in Class 6 Maths teaches you to identify and draw lines of symmetry, complete symmetrical figures, and understand reflection. It is a visual chapter that builds your spatial reasoning, which is important for geometry in higher classes.$

$This Symmetry Class 6 worksheet uses 60 questions to help you see and draw symmetry confidently.$

What Does This Worksheet Cover?

$Based on the NCERT Class 6 Symmetry chapter:$

$Lines of symmetry — identifying the line that divides a figure into two mirror halves - Multiple lines of symmetry — some shapes have more than one (a square has 4, a circle has infinite) - Symmetry in regular polygons — equilateral triangle (3 lines), square (4), regular pentagon (5), etc. - Symmetry in English alphabet letters — A, H, M, O, etc. - Reflection symmetry — completing a figure given half and the line of symmetry - Symmetry in Indian patterns — rangoli, kolam, mehndi designs$

$Level$	$Focus$	$Count$
$Level 1$	$Count lines of symmetry, identify symmetric figures$	$20$
$Level 2$	$Draw lines of symmetry, complete half-figures$	$20$
$Level 3$	$Multiple lines, pattern completion, reasoning$	$20$

Sample Questions

$Level 1 — Warm Up$

$1. How many lines of symmetry does a rectangle have? 2. Which of these letters have exactly one line of symmetry: A, B, C, D, H, O? 3. Is a scalene triangle symmetrical? Explain.$

$Level 2 — Build Confidence$

$4. Draw all lines of symmetry for a regular hexagon. How many are there? 5. Half of a symmetrical figure is shown on the left side of a vertical line. Complete the other half. 6. A shape has exactly 3 lines of symmetry. What shape could it be?$

$Level 3 — Push Yourself$

$7. An isosceles triangle has how many lines of symmetry? What about an equilateral triangle? Compare and explain why they differ. 8. Design a rangoli pattern that has exactly 4 lines of symmetry. 9. The number 8, when written digitally, has 2 lines of symmetry. Find all single-digit numbers (digital display style) that have at least one line of symmetry.$

Download Practice Symmetry Online worksheet | 45 questions with answer key

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Tips for Symmetry Questions

$1. Use the fold test. Imagine folding the figure along the line. If both halves overlap perfectly, it is a line of symmetry.$

$2. A line of symmetry is not just vertical. It can be horizontal (like in the letter B) or diagonal (like in a square). Check all directions.$

$3. Regular polygons have as many lines of symmetry as they have sides. Equilateral triangle = 3, square = 4, regular pentagon = 5, and so on.$

$4. Rectangles vs squares. A rectangle has only 2 lines of symmetry (one horizontal, one vertical). A square has 4 (two through midpoints, two through diagonals). Do not assume they are the same.$

$5. When completing a figure, use grid paper. Count squares from the line of symmetry to each point, then mirror those distances on the other side.$