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M. Wilkes & D. Smith 3 rd period 3.25.2013

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.

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M. Wilkes & D. Smith 3 rd period 3.25.2013

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  1. M. Wilkes & D. Smith3rd period3.25.2013 What properties of a figure are preserved under a translation, reflection, or rotation?

  2. 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. • A translation is a direct isometry. • A translation creates a figure that is congruent with the original figure

  3. Translation Page 2 • 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.

  4. Translation Page 3

  5. Reflection Page 1 • 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

  6. Reflection 2 • The operation of exchanging all points of a mathematical object with their mirror images • They flip in a 180 degree angle

  7. Reflection Page 3

  8. Rotation Page 1 • Turning around a center • The distance from the shape stays the same • Every point makes a circle around the center

  9. Rotation Page 2 • 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

  10. Rotation Page 3

  11. Summary 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 transformations We enjoyed: Doing the whole project We would like to: Learn something different

  12. References • 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/

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