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Transformations/Symmetry

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Term
Definition
Rigid Motion   is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease  
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Transformation   a translation, rotation, reflection, or dilation, or combination of these.  
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Translation   A translation has a distance and a direction. It moves every point in a figure the given distance in the given direction.  
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Rotation   A rotation has a center, an angle, and a direction. It moves every point of a figure in a circle around the center, in the direction specified (clockwise or counterclockwise), and for a distance specified by the angle.  
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Reflection   The reflection of a figure across a line takes every point of the figure to a point directly opposite to it on the other side of the line and the same distance from the line.  
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Orientation   how the relative pieces of an object are arranged. Rotation and translation preserve orientation, as objects' pieces stay in the same order.  
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Parallel   two lines that never intersect  
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Perpendicular   two lines intersect at a right angle.  
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Perpendicular Bisector   A line which cuts a line segment into two equal parts at 90°  
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Symmetry   an object exhibits symmetry if it looks the same after a transformation, such as reflection or rotation  
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Center of Rotation   a point about which a plane figure rotates.  
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Concentric Circles   circles with a common center.  
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Angle of Rotation   the measure of the amount that a figure is rotated about a fixed point called a point of rotation  
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Corresponding   If a part of the original figure matches up with a part of the copy, we call them corresponding parts. The part could be an angle, point, or side, and you can have corresponding angles, corresponding points, or corresponding sides.  
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Preimage   the two-dimensional shape before any transformation  
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Image   The moved object is called the imag  
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