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Congruence (Year 8 and 9)

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.

Year level(s) Year 8, Year 9
Purpose Content knowledge
Keywords congruence, triangles, angle, side, explicit teaching

Curriculum alignment

Strand and focus Geometry
Topics Angles and geometric reasoning
AC: Mathematics content descriptions
ACMMG244 Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes
ACMMG243 Formulate proofs involving congruent triangles and angle properties
ACMMG200 Define congruence of plane shapes using transformations
ACMMG201 Develop the conditions for congruence of triangles
ACMMG202 Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning