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9.1 Translations

9.1 Translations. Objective: Students will recognize and draw reflections, translations, dilations, and rotations. Translations. A transformation maps an initial figure, called the preimage , onto a final figure, called the image . Four main transformations Reflection Translation

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9.1 Translations

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  1. 9.1 Translations Objective: Students will recognize and draw reflections, translations, dilations, and rotations.

  2. Translations • A transformation maps an initial figure, called the preimage, onto a final figure, called the image. • Four main transformations • Reflection • Translation • Dilation • Rotation • Isometry: a congruence transformation (nothing changes but the location)

  3. Translations • A translation is a transformation that moves ALL points of a figure the same distance and direction. • Translations represent a slide of a figure. • A composition of a transformation is a combination of two or more transformations.

  4. Translations in the coordinate plane • To translate points in the coordinate plane, a specific translation will be given. • (x,y)  (x+a,y+b) where a and b are fixed #s • Example: • A(3,2) through (x,y)  (x+1, y-3) = A’(4,-1)

  5. Write the translation for each transformation, then find each new point under the translation.

  6. 9.2 Reflections

  7. Reflections • A reflection is a transformation representing a flip of a figure. • A line of reflection is the line that a figure is “flipped” over. • Each point will be the same distance away from the line of reflection

  8. Reflect the figure over a line.

  9. Reflections in the Coordinate Plane

  10. Examples

  11. Examples

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