Point $B$ is the image of point $A$ under a dilation with center $O$. If $OB = 30$, and the scale factor of the dilation is $5$, then what is $OA$?

Akhain1 May 20, 2024

#1**0 **

This question isn't hard at all, and only involves one key fact.

First, we HAVE to know the formula

**Dilation Factor = Length of Image / Length of Pre-image**

So, now, we just plug in some numbers and we are done!

Length of AB (image) = 30 units

\(5 = 30 / OA \)

\(OA = 30/5\)

\(OA = 6\)

So OA is basically just 6 units.

Thanks! :)

NotThatSmart May 20, 2024