Please note: This site contains links to websites not controlled by the Australian Government or ESA. Read more in the Terms of Use.
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.
Additional details |
|
| Year level(s) | Year 8 |
|---|---|
| Audience | Student, Teacher |
| Purpose | Content knowledge, Evidence-based approaches, Student task, Teaching resource, Teaching strategies |
| Format | Downloadable resources |
| 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) |
Copyright details |
|
| Organisation | AMSI |
| Copyright | © Education Services Australia. Free-for-education material. |
Related resources
-
Measurement using polygons and circles (10 lessons)
In this sequence of 10 lessons, students calculate perimeters and areas of polygons, circles, sectors and composite shapes using algebraic and numerical methods
Resource details -
Geometric reasoning (7 lessons)
In this sequence of 7 lessons, students use angle and side conditions to identify similar shapes, apply scale factors, and solve problems involving transformations and enlargements.
Resource details -
Pythagoras’ theorem (8 lessons)
In this sequence of 8 lessons, students explore Pythagoras’ theorem by finding side lengths, perimeters, and areas of right-angled triangles and composite shapes.
Resource details -
Making triangles
Students study the concept of triangle inequality, which determines if three positive numbers can serve as the side lengths of a triangle. This principle states that a triangle is possible if the largest of the three numbers is smaller than the sum of the other two. To explore this, students experiment with various combinations of three natural numbers.
Resource details -
Shapes and objects: Year 8 – planning tool
This planning resource for Year 8 is for the topic of Shapes and objects.
Resource details -
Circles and cylinders: Year 8 – planning tool
This planning resource for Year 8 is for the topic of Circles and cylinders.
Resource details -
Congruent hexagons
Students use a digital tool to explore congruent hexagons.
Resource details -
Congruent triangles
Students use a digital tool to explore changing two similar triangles so the two triangles are congruent.
Resource details