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Text Geometric reasoning - congruence

TLF ID M012845

This is a website designed for both teachers and students that introduces congruence of shapes in the plane through transformations. In particular, transformations, translations, reflections in an axis and rotations of multiples of 90 degrees are used to define congruence and to identify congruent shapes. The four congruence tests for triangles are developed and utilised. In particular, quadrilaterals are investigated with the help of an understanding of congruent triangles. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress in the topic.

Educational details

Educational value
  • This resource is valuable for both teachers and students for an introduction to congruence. The resource is specifically designed to aid students' understanding of these aspects of the Australian Curriculum.
  • It is most useful in relation to the year 8 content descriptions in the mathematics curriculum that refer to defining congruence of plane shapes using transformations, developing the conditions for congruence of triangles and establishing properties of quadrilaterals using congruent triangles and angle properties, and solving related numerical problems using reasoning.
  • The resource may be useful in helping students to achieve that element of the year 8 achievement standard referring to identifying conditions for the congruence of triangles and deducing the properties of quadrilaterals.
Year level


Learning area
  • Mathematics

Other details

  • Contributor
  • Name: Education Services Australia
  • Organization: Education Services Australia
  • Description: Data manager
  • Address: VIC, AUSTRALIA
  • URL:
  • Name: Australian Mathematical Sciences Institute
  • Organization: Australian Mathematical Sciences Institute
  • Description: Creator
  • Address: AUSTRALIA
  • URL:
  • Copyright Holder
  • Name: Education Services Australia Ltd
  • Organization: Education Services Australia Ltd
  • Address: AUSTRALIA
  • Publisher
  • Name: Education Services Australia Ltd
  • Organization: Education Services Australia Ltd
  • Description: Publisher
  • Address: AUSTRALIA
  • Resource metadata contributed by
  • Name: Education Services Australia Ltd
  • Organisation: Education Services Australia Ltd
  • Address: AUSTRALIA
  • URL:
Access profile
  • Unknown
Learning Resource Type
  • Text
  • Interactive
  • Online
  • © 2013 Education Services Australia Ltd, unless otherwise indicated. This material may be copied, distributed and adapted free of charge for non-commercial educational purposes, provided all copyright notices and acknowledgements are retained.