Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
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
-
Reflections and coordinates inquiry
This prompt explores the effect of reflection in a given line on a Cartesian plane.
Resource details -
Pyramid inquiry
Using rules to determine the area, perimeter and height of pyramids, while also becoming aware of the features of pyramids.
Resource details -
Equal areas inquiry
The process of calculating and comparing the areas of composite shapes, determining similarities and differences between the area, perimeter and height of shapes.
Resource details -
2-dimensional shapes inquiry
Investigate the relationship between the features of circles and 2D shapes. Using formulas to solve problems involving circumference and area.
Resource details -
Pythagorean theorem and irrational numbers
A series of lessons and activities that includes an introduction and exploration of the Pythagorean theorem and its applications. Part of the Illustrative Math curriculum from GeoGebra.
Resource details -
Pythagorean theorem and Bhaskara
A visual demonstration of Bhaskara’s proof for the Pythagorean theorem.
Resource details -
Year 8: Circles
Students explore the features of circles.
Resource details -
Congruent hexagons
Students use a digital tool to explore congruent hexagons.
Resource details