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15 Cards in this Set
- Front
- Back
image
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a new figure that results from the transformation of a figure in a plane
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pre-image
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the original figure in the transformation of a figure in a plane
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transformation
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the operation that maps or moves a pre-image onto an image
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isometry
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a transformation that preserves lengths. also known as rigid transformations
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reflection
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a type of transformation that uses a line that acts like a mirror, with an image reflected in the line
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line of symmetry
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a line that a figure in the plane has is the figure can be mapped onto itself by a reflection in the line
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rotation
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a type of transformation in which a figure is turned about a fixed point
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center of rotation
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the fixerd point is called the center of rotation
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angle of the rotation
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the angle formed when rays are drawn from the center of rotation to a point and its image
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translation
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a transformation that maps every two point P and Q in the plane to points P' and Q' so that PP'=QQ'
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vector
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a quantity that has both direction and magnitude, and is represented by an arrow drawn between two points
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component form
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component form of a vector is the form that combines the horizontal and vertical components of the vector
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glide reflection
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a transformation in which every point P is mapped onto a point P' by the followingtwo steps: 1) a translation maps P onto P'. 2) a reflection, in a line K parallel to the direction of the translation maps P onto P'
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composition
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when two or more transformations are combined to produce a single transformation, the result is called a composition of the transformation.
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frieze pattern
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a pattern that extends to the left and right in such a way that the pattern can be mapped onto itself by a horizontal translation
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