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Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.

Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.-example-1

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Answer: The required scale factor
=\frac43

Explanation:

Formula :
\text{Scale factor }=\frac{\text{Side in image}}{\text{Corresponding side in pre-image}}

Here, ED = 3 units in Δ DEF which corresponding to SR = 4 units in ΔRST

Now,

Scale factor for the given transformation =
(SR)/(ED)


=(4)/(3)

hence, the required scale factor
=\frac43

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