Mathematics / Year 10 / Measurement and Geometry / Geometric reasoning

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Formulate proofs involving congruent triangles and angle properties (ACMMG243)

  • applying an understanding of relationships to deduce properties of geometric figures (for example the base angles of an isosceles triangle are equal)
General capabilities
  • Numeracy Numeracy
ScOT terms

Angles,  Congruence (Geometry),  Triangles (Shapes),  Mathematical proofs

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TIMES Module 22: Measurement and Geometry: scale drawings and similarity - teacher guide

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reSolve: Mechanical Linkages: Geometry Proofs

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Finding Angles From Ratios

An animated tutorial about using a calculator to find an angle when given a trigonometric ratio. An interactive quiz is included.


reSolve: Trigonometric Trajectories

In this sequence of two lessons, students investigate trigonometric and Pythagorean relationships through two contexts: researching and building a model zipline ride and outlining a proposal for glider poles. In the first lesson, students apply trigonometric and Pythagorean relationships to investigate the dimensions of ...


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In this laptop-friendly resource, students consolidate their understanding of trigonometry by investigating practical applications of the ratios, highlighting the process they used to find a solution.


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A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.


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Interactive activities that guide students to consider the use and presentation of geometric reasoning.


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An animated introduction to the basic trigonometric ratios.


Numeracy wrap: Parallelogram peculiarities

Interactive activities that guide students to investigate properties of parallelograms.