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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 $OA$?

 Jun 10, 2024
 #1
avatar+1334 
+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! ;) 

 Jun 10, 2024

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