Please note: This site contains links to websites not controlled by the Australian Government or ESA. Read more in the Terms of Use.
Similar triangles
An explanation of the rules for triangles to be similar. The resource includes downloadable worksheets for students.
Additional details |
|
| Year level(s) | Year 9 |
|---|---|
| Audience | Teacher |
| Purpose | Content knowledge, Teaching resource, Student task |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Mathematics investigation |
| Keywords | transformation, ratio, triangle, angle, proof, congruent, similar, scale factor, enlargement |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Space |
| Topics | Angles and geometric reasoning |
| AC: Mathematics (V9.0) content descriptions |
AC9M9M03
Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles |
| Numeracy progression |
Understanding geometric properties (P7)
Proportional thinking (P7) Understanding units of measurement (P10) |
Copyright details |
|
| Organisation | AAMT |
| Copyright | © 2014 The Australian Association of Mathematics Teachers (AAMT) Inc. Free-for-education material. |
Related resources
-
Area of a triangle inquiry
This prompt extends students' thinking about the area of a non-right-angled triangle.
Resource details -
Enlargement
To enlarge and transform geometrical shapes.
Resource details -
reSolve: Geometry – lunch lap (Trial)
Two inquiry-based lessons where students are challenged to use Pythagoras' theorem to optimise the path of a lunch cart.
Resource details -
reSolve: Mechanical linkages – geometry proofs
A series of inquiry-based lessons about geometrical proofs using the context of joints and folds.
Resource details -
reSolve: Mechanical linkages – similar triangles
A series of inquiry-based lessons about similar triangles.
Resource details -
reSolve: Mathematical modelling – cornering
This series of inquiry-based lessons uses properties of circles, trigonometry and Pythagoras' theorem to investigate how long vehicles 'cut corners' when cornering.
Resource details -
Pythagoras’ theorem
Introducing the Pythagorean theorem and Pythagorean triads.
Resource details -
Introductory congruence
This resource describes what congruence is and how to test for it.
Resource details