Combined Transformations (Sequences of Transformations)

Apply two given transformations (e.g. a translation then a reflection) to a shape in sequence and draw the final image.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM6-8
New NZC (2026)
  • NZC26-P4-GEO-SPR-P-Y9-02

Resources

Terminology

  • Sequence of transformations
  • Combined transformation
  • Single equivalent transformation
  • Describe fully
  • Invariant point
  • Invariant line

Task goals

  • Apply two given transformations (e.g. a translation then a reflection) to a shape in sequence and draw the final image.
  • Describe, using correct transformation language and any invariant points or lines, the single transformation equivalent to two combined transformations applied to a shape.
  • Determine unknown transformation parameters (such as a rotation angle, mirror line equation, or scale factor) required so that a stated sequence of combined transformations produces a specified final image, justifying the reasoning.

Where this fits

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

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Combined Transformations (Sequences of Transformations)

Combined Transformations (Sequences of Transformations)

Do

Transforming 2D shapes in the coordinate plane by translation, reflection about a given line of symmetry, and rotation about a given point by a multiple of 90 degrees

Statement▸
Year 9 · Geometry · Spatial reasoning
NZC26-P4-GEO-SPR-P-Y9-02

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