Create Presentation
Download Presentation

Download Presentation
## Rigid Motion in a Plane

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**Chapter 7.1**Rigid Motion in a Plane**New Vocabulary…**• Pre Image – The original figure in the transformation of a figure in a plane. • Image – The new figure that results from the transformation of a figure in a plane.**New Vocabulary…**• Transformation – The operation that maps, or moves, a pre image onto an image. • 3 basic transformations are reflections, rotations, and translations.**http://www.youtube.com/watch?v=Np6Qm9sQV68&feature=youtu.be**Transformation Shuffle**Mapping: A way to describe a transformation.**• ABC is mapped on DEF • ABC DEF**Isometry: A transformation that preserves lengths. Also**called a Rigid Transformation.**Chapter 7.2**Reflections**New Vocabulary…**• Reflection – A type of transformation that uses a line that acts like a mirror, called a line of reflection, with an image reflected in the line. • Line m is the Line of Reflection. • Reflections are a type of Isometry. m**Reflections… Rules**• If P is not on line m, then m is the perpendicular bisector of PP’. • If P is on m, then P = P’. m m P P P’ P’**Reflections… Rules Continued**• If (x, y) is reflected in the x-axis, its image is the point (x, -y). • If (x, y) is reflected in the y-axis, its image is the point (-x, y). Reflect the GREEN dot over the y-axis. What are the coordinates of the pre image and image??? Reflect the PINK dot over the x-axis. What are the coordinates of the pre image and image???