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5-3: Geometry in Motion

5-3: Geometry in Motion. 5-3: Geometry in Motion. Translation : Sliding a figure from one position to another without turning it. 5-3: Geometry in Motion. Reflection : Flipping a figure over a line. 5-3: Geometry in Motion. Rotation : Turning a figure around a fixed point.

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5-3: Geometry in Motion

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  1. 5-3: Geometry in Motion

  2. 5-3: Geometry in Motion • Translation: Sliding a figure from one position to another without turning it.

  3. 5-3: Geometry in Motion • Reflection: Flipping a figure over a line

  4. 5-3: Geometry in Motion • Rotation: Turning a figure around a fixed point.

  5. 5-3: Geometry in Motion • Identify each motion as a translation, reflection, or rotation rotation reflection translation

  6. 5-3: Geometry in Motion • Preimage: The points on a figure before a translation • Mapping: Pairing points from a preimage to its translated image. Its matching point on the corresponding figure is calledits image. Each point onthe original figure is calleda preimage.

  7. 5-3: Geometry in Motion • The symbol  is used to indicate mapping. On the previous slide, ABC DEF. When naming triangles, the order of the vertices indicates the corresponding points. • The mapping is called a transformation

  8. 5-3: Geometry in Motion • In the figure XYZ ABC by a reflection • Name the image of X. • XYZ ABC • X corresponds to A • Name the side the corresponds to AB. • XYZ ABC • XY corresponds to AB

  9. 5-3: Geometry in Motion • In the figure LMN QRS by a rotation • Name the image of M. • R • Name the angle thatcorresponds to S. • N • Name the image of LM • QR • Name the side thatcorresponds to LN. • QS

  10. 5-3: Geometry in Motion • Assignment • Worksheet #5-3

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