Mathematics Geometryusually ages 8–10

2-D shapes (age 8+)

Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry

How to tell they’ve got it

Tick these off as you see them — no test required.

Find all lines of symmetry in a rectangle, square, and equilateral triangle
Determine whether a given shape has a line of symmetry when rotated
Identify which shapes in a set have exactly one line of symmetry
Determine how many lines of symmetry a regular hexagon has
Draw all lines of symmetry for a given figure
Identify which figures from a set are not line-symmetric

🖨 Print this page to keep the checklist — it prints beautifully.

Try this together

If your child is given a picture of a butterfly or a star shape, can they draw the line (or lines) where you could fold it exactly in half so both sides match?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on

2-D shapes (age 6+)ages 6–7Vertical line symmetry in Y2 is prerequisite to finding symmetry lines in multiple orientations

Transformations on a gridages 8–12Identifying lines of symmetry requires the ability to draw and interpret reflection on a grid

2-D shapes (age 8+)this skill · ages 8–10

Unlocks

Lines of symmetryages 8–9Must identify lines of symmetry before completing symmetric figures

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

Show candidate curriculum codes · 3 ACARA · 2 NSW · 3 VIC

Australian Curriculum v9 candidate

AC9M4SP03high confidenceYear 4 · Space

recognise line and rotational symmetry of shapes and create symmetrical patterns and pictures, using dynamic geometric software where appropriate

AC9M2SP01low confidenceYear 2 · Space

recognise, compare and classify shapes, referencing the number of sides and using spatial terms such as “opposite”, “parallel”, “curved” and “straight”

AC9M5SP03low confidenceYear 5 · Space

describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries

NSW syllabus codes & stages only

MA3-2DS-01medium confidenceMathematics K-10 · Stage 3

MA1-2DS-01medium confidenceMathematics K-10 · Stage 1

Victorian Curriculum 2.0 codes & levels only

VC2M4SP04high confidenceMathematics · Level 4 · Space strand

VC2M2SP01medium confidenceMathematics · Level 2 · Space strand

VC2M5SP03medium confidenceMathematics · Level 5 · Space strand

These are candidate alignments generated by semantic matching — machine-suggested and unreviewed (v0.1), not official or verified mappings. For official curriculum content see australiancurriculum.edu.au, curriculum.nsw.edu.au and f10.vcaa.vic.edu.au. Don’t rely on them for registration or compliance purposes.

Nearby on the map

Coordinates (age 8+)ages 8–9 Describing Movementsages 8–9 First Quadrant Coordinatesages 8–9 Lines of symmetryages 8–9

All Geometry skills →