Mel Balser EME 4401 November 7, 2007 Transformations! Translations, Reflections, and Rotations (also known as Slides, Flips, and Turns) Mel Balser EME 4401 November 7, 2007

What is a transformation? A transformation is a change in the position or size of an object Movements that do not change the size or shape of the object moved are called “rigid transformations” There are three types of rigid transformations: Translations, Reflections, and Rotations. These are more commonly referred to as Slides, Flips, and Turns. Free powerpoint template: www.brainybetty.com

Free powerpoint template: www.brainybetty.com What is a translation? Take one step in any direction You have just “translated” yourself! More commonly known as “slides” A translation "slides" an object a fixed distance in a given direction.  The original object and its translation (known as the image) have the same shape and size, and they face in the same direction. Free powerpoint template: www.brainybetty.com

Free powerpoint template: www.brainybetty.com What is a translation? Butterfly Wing Close-up M.C. Escher Free powerpoint template: www.brainybetty.com

Free powerpoint template: www.brainybetty.com What is a translation? Translate these objects however you want! Example: Free powerpoint template: www.brainybetty.com

Free powerpoint template: www.brainybetty.com What is a reflection? Take a look in the mirror. You are staring at a reflection of yourself! More commonly known as “flips” An object and its reflection have the same shape and size, but the figures face in opposite directions. A reflection can be seen in water, in a mirror, in glass, or in a shiny surface.  Free powerpoint template: www.brainybetty.com

Free powerpoint template: www.brainybetty.com What is a reflection? A reflection can be thought of as flipping an object over the line of reflection In water In a mirror In a shiny surface In glass Free powerpoint template: www.brainybetty.com

Free powerpoint template: www.brainybetty.com What is a reflection? Can you flip these objects over the line of reflection? Example: Free powerpoint template: www.brainybetty.com

Free powerpoint template: www.brainybetty.com What is a rotation? Turn yourself to the right You have just rotated yourself! Commonly known as turns A rotation is a transformation that turns a figure about a fixed point called the center of rotation.  An object and its rotation are the same shape and size, but the figures may be turned in different directions. Free powerpoint template: www.brainybetty.com

Free powerpoint template: www.brainybetty.com What is a rotation? Rotations are made clockwise or counterclockwise Check this out! Free powerpoint template: www.brainybetty.com

Free powerpoint template: www.brainybetty.com What is a rotation? Can you rotate these objects? Example: Free powerpoint template: www.brainybetty.com