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1.6 – Motion in Geometry

1.6 – Motion in Geometry. 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. Rigid Transformations. Translation

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1.6 – Motion in Geometry

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  1. 1.6 – Motion in Geometry

  2. 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

  3. 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.

  4. 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.)

  5. Translation

  6. 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.

  7. Rotation Rotate this figure 90° clockwise about the given point. B A B’ A’

  8. 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.

  9. Reflection

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