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Which statement is true?

A. A dilation is a function because the scale factor is always greater than 1.
B. A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.
C. A dilation is not a function because a point on the pre-image could be mapped to more than one point on the image.
D. A dilation is not a function because the image is not congruent to the pre-image.

Respuesta :

Answer: Choice B) A dilation is a function because each pre-image point corresponds to exactly one image point

When you shrink or enlarge an image using dilation, any single point will move to exactly one location only. It will not move to multiple locations at the same time. Because of this, we have the input (starting point) correspond to one output (ending point). This is why it is a function.

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