Line (Reflective) Symmetry

Identify and draw the line(s) of symmetry on simple, familiar 2D shapes such as isosceles triangles, rectangles, and letters.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM4-5
New NZC (2026)
  • NZC26-P4-GEO-SPR-K-Y9-01

Resources

Terminology

  • line of symmetry
  • axis of symmetry
  • mirror line
  • reflective symmetry
  • regular polygon

Task goals

  • Identify and draw the line(s) of symmetry on simple, familiar 2D shapes such as isosceles triangles, rectangles, and letters.
  • Determine the exact number of lines of symmetry in regular polygons and everyday figures, and combine this with the shape's order of rotational symmetry.
  • Analyse and justify the symmetry properties (lines and rotational order together) of composite, irregular, or real-world designs using correct transformation-geometry language.

Where this fits

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Line (Reflective) Symmetry

Line (Reflective) Symmetry

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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