Class 6 Mathematics — Chapter 9: Symmetry

What you'll learn

• ▸Concept of Symmetry
• ▸Line of Symmetry (Reflection Symmetry)
• ▸Lines of Symmetry in Geometric Shapes
• ▸Creating Symmetrical Figures
• ▸Completing Figures with Line Symmetry
• ▸Introduction to Rotational Symmetry

Chapter Summary

--- PAGE 1 --- 9 0674CH09 SYMMETRY Look around you—you may find many objects that catch your attention. Some such things are shown below: Flower Butterfly Rangoli Pinwheel There is something beautiful about the pictures above. The flower looks the same from many different angles. What about the butterfly? No doubt, the colours are very attractive. But what else about the butterfly appeals to you? In these pictures, it appears that some parts of the figure are repeated and these repetitions seem to occur in a definite pattern. Can you see what repeats in the beautiful rangoli figure? In the Reprint 2025-26 --- PAGE 2 --- Ganita Prakash | Grade 6 rangoli, the red petals come back onto themselves when the flower is rotated by 90° around the centre and so do the other parts of the rangoli. What about the pinwheel? Can you spot which pattern is repeating? Hint: Look at the hexagon first. Now, can you say what figure repeats along each side of th…

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

1. Show how reflection works? Get Solution →
2. Identify symmetry in my room? Get Solution →
3. Create a symmetric drawing? Get Solution →
4. What is a line called if it cuts a figure into two parts that exactly overlap when folded along it? Get Solution →
5. According to the text, what are the two identical halves of a figure created by a line of symmetry called? Get Solution →
6. How many lines of symmetry does a square have? Get Solution →
7. A figure that has a line of symmetry is also said to have which type of symmetry? Get Solution →
8. In rotational symmetry, what is the fixed point about which an object is rotated called? Get Solution →

Did you know?

• 💡 The human body has bilateral symmetry, but our internal organs do not.
• 💡 Every single snowflake has perfect six-fold radial symmetry.
• 💡 Some animals, like peacocks, use symmetrical patterns to attract mates.
• 💡 Ancient Greek temples were designed using mathematical symmetry principles.
• 💡 Mirrors reflect objects symmetrically, creating a reversed image.

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