<meta http-equiv="refresh" content="1; url=/nojavascript/">
Skip Navigation

Chapter 2: Rigid Transformations

Difficulty Level: At Grade Created by: CK-12

Translations, reflections, and rotations are all examples of rigid motions that you have studied in the past. Here, you will formalize the definitions of these transformations and learn how to perform transformations and sequences of transformations with geometry software. You will also learn what it means for a shape to have reflection or rotation symmetry.

Chapter Outline

Chapter Summary

You looked at different types of transformations. Rigid transformations were those that preserved distance and angles. Some transformations, such as stretches, were not rigid transformations. 

You formalized the definitions of translations, reflections, and rotations using vectors, circles, and parallel and perpendicular lines. You also learned how to use Geogebra to perform transformations and composite transformations. You saw that when a shape could be reflected across a line and be carried onto itself it had reflection symmetry. When a shape could be rotated less than 360^\circ about a point and be carried onto itself it had rotation symmetry.

A solid understanding of rigid transformations will inform your formal understanding of triangle congruence and proof.

Image Attributions



Date Created:

Aug 27, 2013

Last Modified:

Aug 04, 2014
You can only attach files to None which belong to you
If you would like to associate files with this None, please make a copy first.
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original

Original text

Quick question: What is the purpose of your visit today?

Thank you for answering this Poll. Your feedback is highly appreciated!