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The set of all reflection images of the points of the figure. |
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The transformation T o S under which the image of a point of figure F is T(S(F)) |
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The composite of two reflections over parallel lines. Also called slide and can be described using a vector. |
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The composite of two reflections over intersecting lines; the transformation "turns" the preimage on to the image about a fixed point. Also called Turn |
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A quantity that has both magnitude and direction that is used for a translation. |
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A transformation that is a reflection or a composite of reflections. (rotation, reflection, translation, or glide refection) |
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The composite of a translation and a reflection over a line parallel to the direction of the vector. |
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The transformation that maps a pre-image over a reflecting line to its image. The image will have reversed orientation from its pre-image. |
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Figure Transformation Theorem |
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Definition
If a figure is determined by certain points, then its transformation image is the corresponding figure determined by the transformation images of those points. |
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