Class 6 Maths Chapter 9 PDF: Symmetry (Ganita Prakash)

Class 6 Maths Chapter 9, Symmetry, explores both reflection (line) symmetry and rotational symmetry in nature, Indian architecture, rangoli patterns and geometric polygons, including ink-blot/paper-punch creations, angles of symmetry and order of rotational symmetry.

What Class 6 Mathematics Chapter 9 Covers

9.1 Line of Symmetry & Reflection identifies figures with one, two, three, four or multiple lines (axes) of symmetry (isosceles and equilateral triangles, rectangles, squares, regular polygons), explains why the diagonal of a non-square rectangle is not a line of symmetry, and creates symmetrical patterns using ink blots, paper folding/cutting and grid reflection.

9.2 Rotational Symmetry, Angles of Symmetry & Order introduces the centre of rotation and angles of rotational symmetry (e.g., 90°, 180°, 270°, 360° for a pinwheel/square; 120°, 240°, 360° for a 3-arm figure; 60° multiples for a regular hexagon; every angle for a circle), shows why the angles of rotational symmetry are always multiples of the smallest angle of symmetry (which divides 360°), and compares shapes having both, one or neither type of symmetry.

Exercises in Chapter 9

• Figure it Out exercise sets across every section with step-by-step Chapter Solutions included at the end of the PDF.
• Summary key formulas, visual proofs, and mathematical puzzles.

Read Class 6 Mathematics Chapter 9 Online

More Chapters

• Previous: Chapter 8: Playing with Constructions
• Next: Chapter 10: The Other Side of Zero
• Hindi medium: Class 6 Maths Chapter 9 PDF in Hindi (Ganita Prakash)
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FAQ

Why is the diagonal of a rectangle (that is not a square) not a line of symmetry?
When you fold a non-square rectangle along its diagonal, the adjacent sides of unequal length do not overlap each other, so the two triangular halves do not coincide upon reflection.

What is the relationship between all angles of rotational symmetry of a figure?
If a figure’s smallest angle of rotational symmetry is θ°, then θalways divides 360° evenly, and all its angles of rotational symmetry are exact multiples of θ° up to 360°.

Updated 2026–27 NCERT Class 6 Books & Chapter-Wise PDFs

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