Skip to content

A NSW Government website

Welcome to the NSW Curriculum website

NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus (2022)

Content

Stage 5

Properties of geometrical figures C (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Construct formal proofs involving congruent and similar triangles
  • Construct formal proofs of the Loading  of Loading , preserving the matching order of vertices and drawing relevant conclusions

  • Construct formal proofs of the Loading  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

  • Prove the properties of isosceles and equilateral triangles and special quadrilaterals from the formal definition of the Loading 

  • Prove and apply theorems and properties related to triangles and quadrilaterals

  • Prove and apply tests for quadrilaterals

  • Solve numerical and non-numerical problems in Euclidean geometry based on known assumptions and proven theorems

Related files