Analysing Symmetry in Patterns

Identify and draw lines of symmetry and state the order of rotational symmetry for simple regular shapes and everyday patterns.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM6-9
New NZC (2026)
  • NZC26-P4-GEO-SPR-K-Y9-01

Resources

Terminology

  • line of symmetry
  • rotational symmetry
  • order of rotational symmetry
  • tessellation
  • pattern
  • border pattern

Task goals

  • Identify and draw all the lines of symmetry, and state the order of rotational symmetry, for simple regular shapes and everyday patterns.
  • Analyse and describe combined reflective and rotational symmetry in more complex geometric patterns, borders, and tessellations.
  • Justify why a given pattern has particular symmetry properties, and design or extend a pattern to satisfy specified symmetry conditions.

Where this fits

What leads into this objective, and where it goes next.

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Analysing Symmetry in Patterns

Analysing Symmetry in Patterns

Know

A set of points in a plane can be transformed by translation, reflection about a line, and rotation about a fixed point.

Statement▸
Year 9 · Geometry · Spatial reasoning
NZC26-P4-GEO-SPR-K-Y9-01

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