Te reo Māori terms
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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-SHP-K-Y10-01NZC26-P4-MEA-MEA-P-Y10-09
Resources
- CorbettMaths on Symmetry (line and rotational)Questions PDF · Answers
- CorbettMaths on Rotational SymmetryQuestions PDF · Answers
- CorbettMaths on Similar Shapes: Finding SidesQuestions PDF · Answers
- CorbettMaths on Congruent and Similar ShapesQuestions PDF · Answers
Terminology
- line of symmetry
- axis of symmetry
- mirror line
- rotational symmetry
- order of rotational symmetry
- centre of rotation
- similar shapes
- corresponding sides
- corresponding angles
- scale factor
- enlargement
- proportional
Task goals
- Identify and draw all lines of symmetry on 2D shapes and polygons, including irregular figures.
- State the order of rotational symmetry for a given 2D shape.
- Determine whether two shapes, including triangles, are similar by comparing corresponding angles and corresponding side ratios.
- Use a known or calculated scale factor to find a missing length in a pair of similar shapes.
- Solve multi-step problems that combine similarity reasoning, including enlargement and unknown scale factors, with symmetry properties to find or justify unknown angles and lengths.
Where this fits
What leads into this objective, and where it goes next.
Before
Volume of other 3D shapes (cylinders, cones, pyramids, spheres, etc)
Measurement applications: integrated projects
Surface area
You are here
Symmetry and Similarity of Shapes
Know
In similar shapes, corresponding angles are equal and the lengths of corresponding sides are proportional.
Statement▸
Year 10 · Geometry · Shapes
NZC26-P4-GEO-SHP-K-Y10-01
Do
Scaling a shape by a factor, and determining the scale factor for the scaled shape's area or volume
Statement▸
Year 10 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y10-09
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.