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Transformations

Transformations. Vocabulary. Transformational Geometry: is a method for studying geometry that illustrates _____________________________________ by the use of transformations.

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Transformations

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  1. Transformations Vocabulary

  2. Transformational Geometry: • is a method for studying geometry that illustrates _____________________________________ by the use of transformations. • Transformation: A transformation of the plane is a ____________________________of points in the plane to points in the plane. congruence and similarity one to one mapping

  3. Reflection • Reflection- is a transformation in which each point of the original figure (pre-image) has an image that is the ______________________________ • as the original point but is on the opposite side of the line. same distance from the line of reflection

  4. Rotation • Rotation- is a transformation that ___________________________________ turns a figure about a fixed point called the center of rotation

  5. Translation • Translation- is a transformation that ___________________________ direction.  • A translation creates a figure that is ____________with the original figure. slides an object a fixed distance in a given congruent

  6. Dilation • Dilation- is a transformation that produces an image that is the same shape as the original, but is a ____________. • A dilation ____________________ the original figure different size stretchesor shrinks

  7. Describing transformations • Opposite Transformation: An opposite transformation is a transformation that ______________________of a figure.  ___________are opposite transformations.  • Image:  An image is the ___________point or set of points under a transformation. • Pre-image: ____________ figure or set of points • Orientation:  Orientation refers to the______________________, relative to one another, after a transformation has occurred.  For example, the reference made to the direction traversed (clockwise or counterclockwise) when traveling around a geometric figure.  changes the order Reflections resulting original arrangement of points

  8. Isometry preserves length • Isometry:  An isometry is a transformation of the plane that ____________________. • Direct: preserves _____________________ - the letters on the diagram go in the same clockwise or counterclockwise direction on the figure and its image. • Opposite: ___________________________________________ (such as clockwise changes to counterclockwise). • Vector:  A quantity that has both_________________ • and __________; represented geometrically • by a directed line segment. orientation or order changes the order or orientation magnitude direction

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