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Image. A figure in a plane that can be reflected, rotated, or translated to produce a new figure. Preimage. The original figure before any reflections, rotations, or translations have been applied. Transformation. The operation that maps, or moves, the preimage onto the image. Isometry.
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Image • A figure in a plane that can be reflected, rotated, or translated to produce a new figure.
Preimage • The original figure before any reflections, rotations, or translations have been applied
Transformation • The operation that maps, or moves, the preimage onto the image
Isometry • A transformation that preserves lengths.
Reflection • Uses a line that acts like a mirror
Line of Reflection • The line across which an image ins reflected
Line of Symmetry • The figure can be mapped onto itself by a line of reflection in the figure.
Rotation • Transformation in which a figure is turned about a fixed point
Center of Rotation • The point around which the image is rotated
Angle of Rotation • The amount of space an image is rotated from the initial point
Rotational Symmetry • A figure that can be mapped onto itself after being rotated 90
Translation • A transformation that slides the image along a straight line
Vector • A quantity that has both direction and magnitude, or size, and is represented by an arrow drawn between two points.
Initial Point • Starting point of the vector
Terminal Point • Ending point of the vector
Component Form • Combines the horizontal and vertical components of a vector
Glide Reflection • A transformation in which every point p is mapped onto a point using more than one type of transformation
Composition • Two or more transformations are combined to produce a single transformations
Frieze Pattern • 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.