Properties of geometrical figures C (Path)
Mathematics K–10 (2022) · Stage 5 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA5-GEO-P-02 constructs proofs involving congruent triangles and similar triangles and proves properties of plane shapes (Path: Ext)Content dot points
Each dot point has its own page with resources matched to it.
Construct formal proofs involving congruent and similar triangles
- Construct formal proofs of the congruence of triangles, preserving the matching order of vertices and drawing relevant conclusions 2 resources
- Construct formal proofs of the similarity of triangles, preserving the matching order of vertices and drawing relevant conclusions
Apply logical reasoning to proofs involving plane shapes
- Recognise that a definition is the minimum amount of information needed to identify a particular figure 1 resource · 1 interactive/game
- Prove the properties of isosceles and equilateral triangles and special quadrilaterals from the formal definition of the shapes 1 resource
- Prove and apply theorems and properties related to triangles and quadrilaterals 2 resources · 1 interactive/game
- Prove and apply tests for quadrilaterals 1 resource
- Solve numerical and non-numerical problems in Euclidean geometry based on known assumptions and proven theorems
Stage 5 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 03)
- Unit/PlanningSample scope and sequence: Stages 4–5 core and selected paths (NESA no. 04)
- Unit/PlanningSample scope and sequence: Stage 5 core and all paths (NESA no. 05)
- Unit/PlanningSample scope and sequence: Stage 5 core (NESA no. 02)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 06)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 01)
- Unit/PlanningSample scope and sequence: Stages 4–5 stage based (NESA no. 08)
- Unit/PlanningStage 5 – sample scope and sequence
- Unit/PlanningStage 5 – stage based – sample scope and sequence