Show that a dilation σ by a factor of r scales all distances by a factor...

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Show that a dilation σ by a factor of r scales all distances bya factor of r. That is, for all points A and B, we have:

|σ(A)σ(B)| = r|AB|

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Let us solve the statement using a simple exampleLet us consider the dilation of a Triangle ABC by a    See Answer
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