Download - Rigid Motion in a Plane
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RIGID MOTION IN A PLANEChapter 7.1
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New Vocabulary…
Pre Image – The original figure in the transformation of a figure in a plane.
Image – The new figure that results from the transformation of a figure in a plane.
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New Vocabulary…
Transformation – The operation that maps, or moves, a pre image onto an image. 3 basic transformations are reflections,
rotations, and translations.
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http://www.youtube.com/watch?v=Np6Qm9sQV68&feature=youtu.be
TRANSFORMATIONSHUFFLE
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Example…
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Mapping: A way to describe a transformation. ABC is mapped on DEF ABC DEF
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Isometry: A transformation that preserves lengths. Also called a Rigid Transformation.
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REFLECTIONSChapter 7.2
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New Vocabulary…
Reflection – A type of transformation that uses a line that acts like a mirror, called a line of reflection, with an image reflected in the line.
Line m is the Line of Reflection. Reflections are a type of Isometry.
m
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Reflections… Rules
If P is not on line m, then m is the perpendicular bisector of PP’.
If P is on m, then P = P’.m m
P’P
P’
P
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Reflections… Rules Continued If (x, y) is reflected in the x-axis, its
image is the point (x, -y). If (x, y) is reflected in the y-axis, its
image is the point (-x, y).
Reflect the GREEN dot over the y-axis. What are the coordinates of the pre image and image???
Reflect the PINK dot over the x-axis. What are the coordinates of the pre image and image???
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Line of Symmetry…
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