Geometric Transformation

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Category: Education

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Overview of translation, rotation and reflection

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By: Andrea Fossum Geometric Transformations

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Let’s Do the Cha Cha Slide

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A transformation is when an object is moved through space in a single plane. There are three kinds of transformations. Translations Rotations Reflections What is a Transformation?

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A translation is when an object is moved in a strait line in one directions. Sliding is a common name for translating. Real world application: Cha Cha slide Moving a checker to a new space. Sliding a hockey puck across the ice. Translation

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What does a Translation look like? Translation

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A Rotation is when an object spins around a central point. Turning around in a common way to say rotation. Real world application: The hands on a clock The arms on a fan The Carousel or the Americana at Kings dominion. Rotation

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What does a rotation look like? Rotation

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A reflection occurs when an object is flipped over a line of symmetry. A mirror image is a common phrase use synonymously with reflection. Real life application: Looking in the mirror. Folding a piece of paper in half. Clapping your hands. Reflection

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What does a reflection look like? Reflection

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Creating a mosaic with repetitive transformations. Can us geometric shapes. Or you can use pictures. Tessellation

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Tessellations by Escher In the 1920s Escher took tessellations further by using intricate pictures and designs.

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2. 3. 1. Which pictures show a reflection?

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1. 2. 3. 4. Which pair of turtles shows a rotation?

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3. 2. 1. 4. 3. Which set of polygons shows a rotation of 90 ⁰?

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1. 2. 3. 4. 4. Which set of polygons shows a reflection down and then to the right?

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1. 2. 3. 4. 5. Which pair of polygons shows a translation?

Right

Wrong