Similarity of Triangles

Site: Saylor Academy
Course: GKT101: General Knowledge for Teachers – Math
Book: Similarity of Triangles
Printed by: Guest user
Date: Saturday, May 18, 2024, 2:55 AM

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.

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.