1.7: Motion in the Coordinate Plane

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1.7 Motion in the Coordinate Plane

• Expectation
• G3.1.1 Define reflection, rotation, translation,
  and glide reflection and find the image of a
  figure under a given isometry.

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Anatomy of the Coordinate Grid.
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Anatomy of the Coordinate Grid.
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Transformations in the Coordinate Grid
Transformation notation T(x,y)
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• Compete worksheet
• 1.7 Motion in the Coordinate Plane

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Translations

• Horizontal Slides of h units
• T(x,y) (______, ____)

Vertical Slides of k units T(x,y) (_______,
_______)
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Translations

• Translation h units horizontally and k units
  vertically
• T(x,y) (______, _______)

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Reflections

• Over the x-axis T(x,y) (____, ____)

Over the y-axis T(x,y) (____, ____)
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Rotations

• 180 centered at the origin T(x,y) (____,
  ____)

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• A triangle ?ABD is reflected across the y-axis to
  have the image ?ABDin the standard (x, y)
  coordinate plane thus A reflects to A. The
  coordinates of point A are (m,n). What are the
  coordinates of point A?
• (-m, n)
• m, -n)
• -m, -n)
• (n, m)
• Cannot be determined from the given information.

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• Assignment
• pages 64 - 67,
• 8 30 (evens), 32 49, 54, 55.