Question

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

Answer 1

Answer: A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.

Explanation:

• A dilation is a transformation that creates a figure by shrinking or enlarging the original figure by using a scale factor and center of dilation.

It produces images by multiplying all distances by the same positive scale factor.

Here, every point on the pre-image corresponds to exactly one point on the image.

Then, it is a function.

[A function is a relation in which only output exists for each input.]

Answer 2

Here the answer is

D) A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.

Definition of Dilation

Dilation stretches or shrinks the original figure. Each pre-image point has exactly one point on the image which multiplied or reduced the scale factor.

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