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Congruent figures
Two figures are congruent if they have the same shape and the same size.
Dilation
A transformation that multiplies all distances from a center point by the same scale factor, producing a similar image.
Geometric transformation
A rule that maps every point of a figure to a new point, producing an image of the figure.
Isometric transformation
A transformation that preserves distances (and therefore preserves shape and size). Translations, rotations, and reflections are isometries.
Scale factor
The multiplier that compares corresponding lengths in an image and its pre-image under dilation.
Similar figures
Two figures are similar if corresponding angles are equal and corresponding lengths are in a constant ratio.