1.6 – Motion in Geometry

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1.6 Motion in Geometry
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Transformations

• Transformation the movement of a figure
• Rigid Transformation-
• A transformation that preserves size shape
• Pre-image the beginning figure BEFORE
• Image the figure AFTER the transformation

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Rigid Transformations

• Translation
• To slide a figure vertically, horizontally or
  both
• A transformation in which every point of the
  preimage is moved the same distance in the same
  direction.

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PRIME SYMBOL

• An apostrophe that is used to denote the new
  point locations after the transformation has
  occurred
• Point A would become point A
• Point B would become point B (etc.)

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Translation
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Rigid Transformations

• Rotation
• To turn a figure around a point (called the
  center of rotation)
• A transformation in which every point of the
  preimage is moved by the same angle through a
  given fixed point.

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Rotation
Rotate this figure 90 clockwise about the given
point.
B
A
B
A
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Rigid Transformations

• Reflection
• To flip a figure over a line
• A transformation in which every point of the
  preimage is moved across a line known as the
  mirror line so that the mirror is the
  perpendicular bisector of the segment connecting
  the point and its image.

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Reflection