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 $OA$?

MeIdHunter Aug 22, 2024

#1**+1 **

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 Aug 22, 2024