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Introductory congruence

This module from the AMSI 'The Improving Mathematics Education in Schools (TIMES) project is for teachers who wish to consolidate their content knowledge on the topic of congruence, including the four triangle tests. There are sections that provide history and context for the topic, as well as exercises and examples of how to present and explain the concepts to students.

Additional details

Year level(s) Year 8, Year 10
Audience Teacher, School Leader
Purpose Content knowledge
Format Downloadable resources
Keywords congruence, triangles, angle, side, explicit teaching

Curriculum alignment

Strand and focus Space
Topics Angles and geometric reasoning
AC: Mathematics (V9.0) content descriptions
Identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations

Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning


Apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems

Numeracy progression Understanding geometric properties (P6, P7)
Proportional thinking (P6)

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