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Right triangle ABC is transformed into right triangle A'B'C what is the scale factor of dilation

Right triangle ABC is transformed into right triangle A'B'C what is the scale factor-example-1

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Answer:

D. 3

Explanation:

The scale factor used to transform right triangle ABC into right triangle A'B'C' is the ratio of any corresponding side length of ∆A'B'C' and ∆ABC.

Thus, using the ratio of side length A'B' to side length A'B', we can get the scale factor as follows:

A'B' = 12 - 6 = 6 units

AB = 4 - 2 = 2 units

Scale factor = A'B' : AB = 6 : 2 = 6/2 = 3

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