<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Dismiss
Skip Navigation
Our Terms of Use (click here to view) and Privacy Policy (click here to view) have changed. By continuing to use this site, you are agreeing to our new Terms of Use and Privacy Policy.

Chapter 12: Rigid Transformations

Difficulty Level: At Grade Created by: CK-12

Introduction

The final chapter of Geometry explores transformations. A transformation is a move, flip, or rotation of an image. First, we will look at different types of symmetry and then discuss the different types of transformations. Finally, we will compose transformations and look at tessellations.

Chapter Outline

Chapter Summary

Summary

This chapter discusses transformations of figures in the two-dimensional space. It begins with an explanation of reflection and rotation symmetry. The chapter then branches out to discuss the different types of rigid transformations: translation (sliding a figure to a new position), rotation (rotating a figure with respect to an axis), and reflection (flipping a figure along a line of symmetry). Once the different types of basic transformations are discussed, the composition of these actions to create a new type of transformation is explored. The chapter wraps up with a detailed presentation of tessellations.

Chapter Review

Match the description with its rule.

  1. Reflection over the yaxis - A. (2ax,y)
  2. Reflection over the xaxis - B. (y,x)
  3. Reflection over x=a - C. (x,y)
  4. Reflection over y=b - D. (y,x)
  5. Reflection over y=x - E. (x,y)
  6. Reflection over y=x - F. (x,2by)
  7. Rotation of 180 - G. (x,y)
  8. Rotation of 90 - H. (x,y)
  9. Rotation of 270 - I. (y,x)
  10. Rotation of 360 - J. (y,x)

Texas Instruments Resources

In the CK-12 Texas Instruments Geometry FlexBook® resource, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9697.

Image Attributions

Show Hide Details
Description
Difficulty Level:
At Grade
Authors:
Subjects:
Grades:
Date Created:
Aug 09, 2013
Last Modified:
May 25, 2016
Save or share your relevant files like activites, homework and worksheet.
To add resources, you must be the owner of the FlexBook® textbook. Please Customize the FlexBook® textbook.
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 
Here