Mathematics Geometryusually ages 9–10

Classifying shapes by line properties

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles as a category

How to tell they’ve got it

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

Sort a set of quadrilaterals into those with parallel sides and those without
Identify which triangles in a set are right triangles
Classify shapes that have both perpendicular and parallel sides

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Try this together

If you show your child a mixed set of triangles and quadrilaterals, can they sort them into groups — like "shapes with at least one right angle" or "shapes with parallel sides" — and explain their reasoning?

Where this sits on the map

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

Builds on

Understanding angles (age 8+)ages 8–9Y4 quadrilateral classification supports classifying by lines/angles

Lines, Rays & Anglesages 9–10Must draw/identify geometric elements before classifying shapes by them

Classifying shapes by line propertiesthis skill · ages 9–10

Unlocks

Classifying shapes by propertiesages 10–11Property-based hierarchy extends Y5 classification by parallel/perpendicular lines

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

AC9M6SP01medium confidenceYear 6 · Space

compare the parallel cross-sections of objects and recognise their relationships to right prisms

AC9M4SP03low confidenceYear 4 · Space

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

AC9M3SP01low confidenceYear 3 · Space

make, compare and classify objects, identifying key features and explaining why these features make them suited to their uses

NSW syllabus codes & stages only

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

MA2-GM-03high confidenceMathematics K-10 · Stage 2

Victorian Curriculum 2.0 codes & levels only

VC2M4SP01medium confidenceMathematics · Level 4 · Space strand

VC2M3SP01medium confidenceMathematics · Level 3 · Space strand

VC2M4SP04low confidenceMathematics · Level 4 · 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

3-D shapes (age 9+)ages 9–10 Angle Sum Rulesages 9–10 Degrees and turnsages 9–10 Estimating Anglesages 9–10

All Geometry skills →