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 $OA$?

ABJeIIy Jun 10, 2024

#1**+1 **

There's one important factor we must know to solve this problem.

We have to know the formula

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

Well, using this equation, we can easily solve the problem!

Plugging in all the values given in the problem, we have

\(5 = 30 / OA\)

\(OA=30/5\)

\(OA=6\)

So our answer is just 6.

Thanks! ;)

NotThatSmart Jun 10, 2024