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Mathematics
 

Mathematics

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Definitions about transformations.

Definitions about transformations.

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    Mathematics Mathematics Presentation Transcript

    • Mathematics Vectors & transformations
    • The four transformations
      • T ranslation ONE Detail
      • E enlargement TWO Details
      • R otation THREE Details
      • R eflection ONE Detail
      • Y
      The word TERRY: only to remember the 4 types. You must specify all the details for each type.
    • TRANSLATION
      • Translation is the movement of an object over a specified distance along a line.
      • The object is not twisted or turned.
      • The image is congruent to the object that was transformed.
      • You must specify one detail: the vector of translation.
    • ENLARGEMENT
      • Enlargement is a transformation in which each point of an object is mapped along a straight line drawn from a fixed point.
      • You must specify two details: the scale factor and the centre of enlargement.
      • A scale factor greater then 1 enlarges the object.
      • A scale factor smaller than 1 reduces the object.
    • ROTATION
      • Rotation occurs when an object is turned around a given point.
      • You must specify three details: angle turned, direction (clockwise or anti-clockwise) and centre of rotation.
      • The object and the image are congruent.
    • REFLECTION
      • A reflection is a transformation in which any two corresponding points in the object and the image are the same distance away from a line.
      • You must specify one detail: the mirror line or line of symmetry.
      • A figure and its image are indirectly congruent (shape and size remain unchanged but the orientation changes)
    • Vectors A vector is an ordered pair of numbers that can be used to describe a translation. The notation is: Where a is the distance moved in the +X direction. And b is the distance moved in the +Y direction.