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Similarity of Triangles

Site: Saylor Academy
Course: GKT101: General Knowledge for Teachers – Math
Book: Similarity of Triangles
Printed by: Guest user
Date: Tuesday, 20 May 2025, 2:02 PM

Description

Similar triangles don't only look very much alike, but they also have a unique relationship between the length of their sides. This lecture series describes the properties of similar triangles. Watch the videos and complete the interactive exercises.

Table of contents

Intro to triangle similarity


Source: Khan Academy, https://www.khanacademy.org/math/geometry-home/similarity
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.

Triangle similarity postulates/criteria

Determining similar triangles

Proving slope is constant using similarity

Practice

    

Determine similar triangles: Angles - Questions

1. Which triangles are similar to \(\triangle A B C\)?


Choose 1 answer:



  1. \(\triangle J K L \text { only }\)

  2.  
    \(\triangle M N P\) only
  3. Both
  4. Neither

2. Which triangles are similar to \(\triangle A B C\)?


Choose 1 answer:

  •  
    \(\triangle Q R S\) only

  •  
    \(\triangle X Y Z\) only
  • Both
  • Neither

3. Which triangles are similar to \(\triangle A B C\)?


Choose 1 answer:

  •  
    \(\triangle D E F\) only

  •  
    \(\triangle I H G\) only
  • Both
  • Neither

4. Which triangles are similar to \(\triangle A B C\)?



Choose 1 answer:


  • \(\triangle MPN\) only

  •  
    \(\triangle QRS\) only
  • Both
  • Neither

Determine similar triangles: Angles - Answers

1. In conclusion, neither of the triangles are similar to \(\triangle A B C\).

2. In conclusion, only \(\triangle Q R S\) is similar to \(\triangle A B C\).

3. In conclusion, both triangles are similar to \(\triangle A B C\).

4. In conclusion, both triangles are similar to \(\triangle A B C\).

Determine similar triangles: SSS - Questions

1. Which triangles are similar to \(\triangle A B C\)?



Choose 1 answer:


  1. \(\triangle D F E\) only

  2. \(\triangle HIG\) only
  3. Both
  4. Neither

2. Which triangles are similar to \(\triangle A B C\)?



Choose 1 answer


  1. \(\triangle DEF\) only

  2. \(\triangle GHI\) only
  3. Both
  4. Neither

3. Which triangles are similar to \(\triangle A B C\)?


Choose 1 answer:


  1. \(\triangle DEF\) only

  2. \(\triangle GHI\) only
  3. Both
  4. Neither

4. Which triangles are similar to \(\triangle A B C\)?



Choose 1 answer:


  1. \(\triangle DEF\) only

  2. \(\triangle GHI\) only
  3. Both
  4. Neither

Determine similar triangles: SSS - Answers

1. Neither \(\triangle D F E\) nor \(\triangle H I G\) are similar to \(\triangle A B C\).

2. Only \(\triangle D E F\) is similar to \(\triangle A B C\).

3. Both \(\triangle D E F\) and \(\triangle G H I\) are similar to \(\triangle A B C\).

4. Neither \(\triangle D E F\) nor \(\triangle G H I\) are similar to \(\triangle A B C\).