1 / 14

Chapter 7 Transformations

Chapter 7 Transformations. 7.1 Rigid Motion in a Plane. California Standards for Geometry 17: Prove theorems using coordinate geometry 22: Know the effect of rigid motions on figures in the coordinate plane. Definitions. Transformation

coyne
Télécharger la présentation

Chapter 7 Transformations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 7Transformations This presentation is the intellectual property of Christine Markstrum

  2. 7.1 Rigid Motion in a Plane California Standards for Geometry 17: Prove theorems using coordinate geometry 22: Know the effect of rigid motions on figures in the coordinate plane. This presentation is the intellectual property of Christine Markstrum

  3. Definitions • Transformation • Creating a copy of a figure on the coordinate plane. • The copy is called the IMAGE. • The original figure is called the PREIMAGE. • Three basic transformations • Translation • Reflection in a line • Rotation about a point This presentation is the intellectual property of Christine Markstrum

  4. preimage image Definitions • Translation • The image slides away from the preimage along a line. This presentation is the intellectual property of Christine Markstrum

  5. image preimage Definitions • Reflection • The image is mirrored across a line from the preimage This presentation is the intellectual property of Christine Markstrum

  6. image preimage Defintions • Rotation • The image is turned about a point from the preimage This presentation is the intellectual property of Christine Markstrum

  7. Definitions • An image is named as the “preimage prime” This is hexagon “ABCDEF prime” C D B E C’ D’ B’ F E’ A This is hexagon ABCDEF F’ A’ When you see an ’ in math say “prime” This presentation is the intellectual property of Christine Markstrum

  8. A B C’ C B’ A’ Examples Name the transformation • Translation? • did the image slide away from the preimage? • Reflection? • Rotation? This presentation is the intellectual property of Christine Markstrum

  9. A B C’ C B’ A’ Examples Name the transformation • Translation? • did the image slide away from the preimage? • Reflection? • is the image mirrored across a line from the preimage? • Rotation? This presentation is the intellectual property of Christine Markstrum

  10. A B C’ C B’ A’ Examples Name the transformation • Translation? • did the image slide away from the preimage? • Reflection? • is the image mirrored across a line from the preimage? • Rotation? • is the image turned about a point from the preimage? This presentation is the intellectual property of Christine Markstrum

  11. A B C’ C B’ A’ Examples Describe the transformation Rotation The image appears to rotate around ____________ The angle of rotation is ______ (0, 0) 180o The transformation is a 180o rotation about (0, 0) This presentation is the intellectual property of Christine Markstrum

  12. Definitions • Isometry • A transformation that maintains lengths. • The image and preimage are congruent • Angle measures, parallel lines, and distances between points are also maintained. This presentation is the intellectual property of Christine Markstrum

  13. is a rotation 4 in K L 5 in 25o J 80o M 7 in P N 8 in O Q U 95o 6 in S 5 in R T This presentation is the intellectual property of Christine Markstrum

  14. Summary • What is a transformation? • Describe the three basic transformations. • What is an isometry? Remember to use your own words. This presentation is the intellectual property of Christine Markstrum

More Related