Geometry Transformations

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Rigid Transformation

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A transformation that preserves the shape (angle measurements) and size (side lengths) of a figure.

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Translation

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A type of rigid transformation that slides a figure in any direction without changing its shape, size or orientation.

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Rotation

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A type of rigid transformation that turns a figure around a fixed point (center of rotation). It preserves size, shape and distance from the center of rotation.

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Reflection

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A type of rigid transformation that flips a figure over a line of reflection, creating a mirror image. This preserves size, shape and distance from the line of reflection.

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Dilation

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A transformation that changes the size (side lengths) of a figure but not its shape (angle measurements). The size and distance from the center of dilation change proportionally.

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Composition of Transformations

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A combination of two or more transformations applied to a figure.

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Prime (A')

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Notation used to denote the image of a point after a transformation.

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Congruent

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Figures that have the same shape (angle measurements) and size (side lengths).

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Similar

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Figures that have the same shape (angle measurements) but not the same size.

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Line of Reflection

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The line over which a figure is flipped to create a mirror image in a reflection.