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# Congruence

The resource provides detailed explanations and examples to teach the topic of congruence. It covers the following areas: understanding the properties that determine congruence of triangles and recognising which transformations create congruent figures; constructing triangles using the conditions of congruence; and looking at the properties of quadrilaterals using congruence and angle properties. Students can use this resource independently or with peers to establish an understanding of congruence as they read through the explanations, examples and complete the questions.

Year level(s) Year 8
Audience Student, Teacher
Purpose Content knowledge, Evidence-based approaches, Student task, Teaching resource, Teaching strategies
Teaching strategies and pedagogical approaches Collaborative learning, Explicit teaching, Worked examples
Keywords quadrilaterals, transformation, congruence, angle properties

## Curriculum alignment

Curriculum connections English, Numeracy, Critical and creative thinking
Strand and focus Space, Apply understanding, Build understanding, Measurement
Topics Angles and geometric reasoning, Transformation, Shapes and objects
AC: Mathematics (V9.0) content descriptions
AC9M8SP01
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

AC9M8SP02
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning

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

Organisation

AMSI