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The three types of dilations are an enlarged image (the image is larger than the preimage), a reduced image (the image is smaller than the preimage) and an equal image (the image is the same size as the preimage).
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The coordinates of the image are typically related to the coordinates of the preimage through a specific transformation, which can include translations, rotations, reflections, or dilations. For example, if a transformation is defined by a function or a matrix, the coordinates of the image can be calculated by applying that function or matrix to the coordinates of the preimage. Thus, the relationship depends on the nature of the transformation applied.