m. wilkes & d. smith 3 rd period 3.25.2013

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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 Presentation

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Page 1: M. Wilkes & D. Smith 3 rd  period 3.25.2013
Page 2: M. Wilkes & D. Smith 3 rd  period 3.25.2013

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

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
Page 5: M. Wilkes & D. Smith 3 rd  period 3.25.2013

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

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
Page 8: M. Wilkes & D. Smith 3 rd  period 3.25.2013

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

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
Page 11: M. Wilkes & D. Smith 3 rd  period 3.25.2013

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

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/