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If AABC ~ ADEF, what is the scale factor of AABC to A DEF?

If AABC ~ ADEF, what is the scale factor of AABC to A DEF?-example-1

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Answer:

Option D is correct. 1/3

Explanations:

From the given question, the triangle ABC is similar to that of DEF, this shows that their scale factor is the ratio of the similar sides.

Since we are moving from triangle ABC to DEF, the scale factor will be expressed as:


\begin{gathered} k=(EF)/(BC) \\ k=(7)/(21)=(1)/(3) \end{gathered}

Hence the scale factor of ABC to DEF is 1/3

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