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A dilation transformation refers to a change in the size of a shape while keeping its proportions the same. This means that every point on the shape is moved either closer to or farther away from a fixed point known as the center of dilation. The factor by which the shape is enlarged or reduced is called the scale factor.

During this transformation, the angles within the shape remain constant, and the relative distances between points are maintained, ensuring that the overall shape stays similar to the original. For instance, if a triangle is dilated with a scale factor of 2, every side of the triangle becomes twice as long, but the shape remains a triangle with angles unchanged.

The other options represent different types of transformations. Moving shapes without changes refers to translation; reflecting shapes is about flipping them over a line, while rotation involves turning a shape around a specific point. All these transformations produce different effects on the shapes and do not coincide with the concept of dilation.

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