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

If AABC~ADEF, what is the scale factor of AABC to ADEF?-example-1
User Gvegayon
by
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1 Answer

8 votes

Given:


\Delta ABC\sim \Delta D E F


AB=18,BC=21,AC=24,EF=7

To find:

The scale factor of
\Delta ABC to
\Delta D EF.

Solution:

We have,


\Delta ABC\sim \Delta D EF

So, side BC is the corresponding side of EF.

Now, scale factor of
\Delta ABC to
\Delta D EF is


\text{Scale factor}=\frac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}


\text{Scale factor}=(EF)/(BC)


\text{Scale factor}=(7)/(21)


\text{Scale factor}=(1)/(3)

Therefore, the scale factor of
\Delta ABC to
\Delta D EF is
(1)/(3).

User TheGraeme
by
6.5k points