Transformations and Congruence: Reflection, Rotation, Translation and Symmetry

Perform and identify single transformations (reflection, rotation, translation) of simple shapes on a grid, and identify lines of symmetry in given figures.

Worksheet Builder All resources ☕ Shout us a flat white Download All

Te reo Māori terms

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM4-8
  • GM3-6
New NZC (2026)
  • NZC26-P4-GEO-SPR-K-Y9-01
  • NZC26-P4-GEO-SHP-K-Y10-02

Resources

Terminology

  • Reflection
  • Rotation
  • Translation
  • Line of symmetry
  • Order of rotational symmetry
  • Congruent
  • Corresponding sides and angles

Task goals

  • Perform and identify single transformations (reflection, rotation, translation) of simple shapes on a grid.
  • Identify lines of symmetry in a given figure.
  • Fully describe a given transformation, including the centre and angle of rotation, the equation of the mirror line, or the translation vector as appropriate.
  • Determine the order of rotational symmetry of a shape.
  • Identify pairs of congruent shapes from a set.
  • Combine two or more transformations to map one shape onto another.
  • Justify why two shapes are congruent using formal reasoning about equal corresponding sides and angles.

Where this fits

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

You are here

Transformations and Congruence: Reflection, Rotation, Translation and Symmetry

Transformations and Congruence: Reflection, Rotation, Translation and 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

Next

No further statements exist yet for the next step on this topic in the data.

Explore the whole sequence →