In the given figure, △ABC ≅ △DEF and △DEF is the dilated figure of △ABC around the center of rotation. What is the scale factor?

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Solution

The correct option is B 2

Here, △ABC ≅ △DEF.

So,
$\frac{A B}{D E} = \frac{A C}{D F} = \frac{B C}{E F}$

So, we can write:
$Scale factor = \frac{E n l a r g e d s i d e}{O r i g i n a l s i d e}$
$= \frac{E F}{B C}$
$= \frac{8}{4}$
$= 2$

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In the given figure, △ABC ≅ △DEF and △DEF is the dilated figure of △ABC around the center of rotation. What is the scale factor?

The correct option is B 2 Here, △ABC ≅ △DEF. So, ABDE=ACDF=BCEF So, we can write: Scale factor=Enlarged sideOriginal side =EFBC =84 =2

The correct option is B 2

Here, △ABC ≅ △DEF.

So,
$\frac{A B}{D E} = \frac{A C}{D F} = \frac{B C}{E F}$

So, we can write:
$Scale factor = \frac{E n l a r g e d s i d e}{O r i g i n a l s i d e}$
$= \frac{E F}{B C}$
$= \frac{8}{4}$
$= 2$