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Pattern

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Transformation Types

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Reflection

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Reflection creates a mirror image of an original figure. This occurs over a line called the line of reflection. It is a rigid motion and properties include equivalent lengths and angles, flipped orientation, and equal distance from the line of reflection for corresponding points.

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Dilation

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Dilation is a transformation that changes the size of a figure by a scale factor, while maintaining its shape. It is not a rigid motion, as it can either enlarge or reduce figures. It is characterized by the multiplication of all distances between points by the same scale factor.

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Translation

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A translation slides an object a fixed distance in a given direction. It is a rigid motion, meaning it does not change the shape or size of the figure. Properties include maintaining orientation and equal distance movement for all points of the figure.

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Rotation

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Rotation turns a figure around a fixed point called the center of rotation. Angles are preserved and distances from the center of rotation to any point on the figure remain the same. It is also a rigid motion.

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