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Geometry: similarity
In this unit, students use dilations and rigid transformations to justify triangle similarity theorems. The unit balances a focus on proof with a focus on using similar triangles to find unknown side lengths and angle measurements.
Additional details |
|
| Year level(s) | Year 9 |
|---|---|
| Audience | Teacher |
| Purpose | Content knowledge, Teaching resource, Student task |
| Teaching strategies and pedagogical approaches | Explicit teaching |
| 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 | GeoGebra |
| Copyright | © 2022 GeoGebra. Free-for-education material. |
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What is similarity?
A series of lessons that explores the meaning of similarity and how shapes can be translated to prove they are similar.
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Similarity
This resource focuses on the rules for similarity and the transformation of enlargement, with detailed explanations, worked examples and assessment questions.
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Similar triangles
This resource provides an explanation of the rules for triangles to be similar. The resource includes downloadable worksheets for students.
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The Geometer's warehouse
A collection of interactive learning objects for the teaching of geometry.
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