9-0 Isometries

9-0 Isometries - (Congruence Transformation) In a plane, an...

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Isometries
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Definition of Transformation In a plane, a mapping is a transformation if each preimage point has exactly one image point, and each image point has exactly one preimage point.
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Types of Transformations dilation A figure can be enlarged or reduced. preimage image
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rotation – A figure can be turned. preimage image
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Translation - A figure can be slid. preimage image
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reflection – A figure can be flipped. preimage image
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When a geometric figure and its transformation image are congruent, the mapping is called an isometry or a congruence transformation.
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Defn. of Isometry
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Unformatted text preview: (Congruence Transformation) In a plane, an isometry is a transformation that maps every segment to a congruent segment. The symbol is used to indicate a mapping. For example, means each point in is mapped onto exactly one point of When a figure and its transformation image are similar, the mapping is called a similarity transformation. PQR ABC ABC . PQR Joke Time Whats a quick way to double your money? You fold it! What does a pickle say when he wants to play cards? Dill me in!...
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This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.

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9-0 Isometries - (Congruence Transformation) In a plane, an...

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