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# Trigonometry: similar triangles

TLF ID L2327

Examine pairs of right-angled triangles. Check that each pair of triangles is similar by identifying all three pairs of corresponding angles. Label corresponding angles with matching symbols. This learning object is one in a series of ten objects.

#### Educational details

Key learning objectives
• Students identify corresponding angles in pairs of similar triangles.
Educational value
• Demonstrates that each of the angles in a triangle is equal to a corresponding angle in a similar triangle.
• Provides pairs of right-angled triangles for comparison having a range of interior angles and rotations.
• Labels angles with common symbols (no numbers are displayed).
Year level

9

Learning area
• mathematics
Strand
• Mathematics/Measurement and geometry
Concept
• Mathematics/Angles
• Mathematics/Similarity
• Mathematics/Ratio and proportion
• Mathematics/Triangles
Skill
• Knowledge;
• Comprehension
Student activity
• Interactives;
• Modelling
Learning design
• Experiential learning;
• Independent learning;
• Problem solving;
• Visual learning

#### Other details

Contributors
• Technical implementer
• Script writer
• Name: Rod Rees
• Organisation: Rees Films Pty Ltd
• Address: Blackburn VIC 3105 Australia
• Subject matter expert
• Name: Howard Reeves
• Address: Lindisfarne TAS 7015 Australia
• Publisher
• Date of contribution: 20 Sep 2013
• Organisation: Education Services Australia
• Address: Melbourne VIC 3000 Australia
• URL: http://www.esa.edu.au/
Access profile
• Colour independence
• Hearing independence
Learning resource type
• Interactive Resource
Browsers
• Microsoft Internet Explorer - minimum version: 8.0 (MS-Windows) - maximum version: 9.0 (MS-Windows)
• Firefox - minimum version: (MS-Windows)
• Safari - minimum version: 5.1 (MacOS)
Operating systems
• MacOS - minimum version: 10.6
• MS-Windows - minimum version: XP - maximum version: 7
Rights
• © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.