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Chapter 9 Vocabulary - Properties of Transformations

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Question
Answer
angle of rotation   the angle formed by rays drawn from center of rotation to a point and its image  
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center of rotation   see rotation  
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center of symmetry   see rotational symmetry  
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component form   the form of a vector that combines the horizontal and vertical components of a vector  
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composition of transformation   the result when two or more transformations are combined to produce a single transformation  
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dimensions   the number of rows and columns in the matrix; if matrix row has m rows and n columns, the dimensions of the matrix are m x n  
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element   a number in a matrix  
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glide reflection   a transformation in which every point P is mapped to a point P"by the following steps; (1) A translation maps P to P'; (2) A reflection in a line k parallel to the direction of the translation maps P' to P"  
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horizontal component   the horizontal change from the initial point to the terminal point of a vector  
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image   the new figure that is produced in a transformation  
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initial point   the starting point of a vector  
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isometry   a transformation that preserves length and angle measure  
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line of reflection   see reflection  
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line of symmetry   see line symmetry  
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line symmetry   a figure in the plane has line symmetry if the figure can be mapped onto itself by a reflection in a line; this line of reflection is a line of symmetry  
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matrix   a rectangular arrangement of numbers in rows in columns  
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preimage   the original figure in a transformation  
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rotational symmetry   a figure in the plane has rotational symmetry if the figure an be mapped onto itself by a rotation of 180 degrees or less about the center of the figure; this point is the center of symmetry  
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scalar multiplication   the process of multiplying each element of a matrix by a real number or scalar  
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terminal point   the ending point of a vector  
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vector   a quantity that has both direction and magnitude, and is represented in the coordinate plane by an arrow drawn from one point to another  
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vertical component   the vertical change from the initial point to the terminal point of a vector  
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