m. wilkes & d. smith 3 rd period 3.25.2013
DESCRIPTION
M. Wilkes & D. Smith 3 rd period 3.25.2013. What properties of a figure are preserved under a translation, reflection, or rotation?. Translation Page 1. A translation is a transformation of the plane that slides every point of a figure the same distance in the same direction. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/1.jpg)
![Page 2: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/2.jpg)
A translation is a transformation of the plane that slides every point of a figure the same distance in the same direction.
A translation is a direct isometry. A translation creates a figure that is
congruent with the original figure
![Page 3: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/3.jpg)
Translations may be combined with rotations and reflections.
A translation is the same as sliding/shifting an object.
The original object and its image are congruent - identical in every respect except for their position.
![Page 4: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/4.jpg)
![Page 5: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/5.jpg)
A transformation where each point in a shape appears at an equal distance on the opposite side of a given line
A mirror image Has the same size of the original image
![Page 6: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/6.jpg)
The operation of exchanging all points of a mathematical object with their mirror images
They flip in a 180 degree angle
![Page 7: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/7.jpg)
![Page 8: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/8.jpg)
Turning around a center The distance from the shape stays
the same Every point makes a circle around
the center
![Page 9: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/9.jpg)
the turning of a body part about its long axis as if on a pivot
rotation is a transformation in a plane or in space that describes the motion of a rigid body around a fixed point
![Page 10: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/10.jpg)
![Page 11: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/11.jpg)
We learned: That transformations can be used in many ways. Like real life situations such as: art, geometry, and graphic designs We had a little difficulty: We didn’t have any difficulty with nothing.The easiest part of the lesson was: Finding the pictures for the transformationsWe enjoyed: Doing the whole projectWe would like to: Learn something different
![Page 12: M. Wilkes & D. Smith 3 rd period 3.25.2013](https://reader036.vdocuments.us/reader036/viewer/2022070405/56813f9e550346895daa8f11/html5/thumbnails/12.jpg)
http://www.flickr.com/photos/43908484@N07/5551910390/
http://greystoneart.wordpress.com/http://www.math.nus.edu.sg/aslaksen/gem-projects/maa/0203-2-03-Escher/main3.html
http://greystoneart.wordpress.com/