Question

A dilation with center (0,0) and scale factor "k" is applied to a polygon. What dilation can you apply to the image to return it to the original preimage?

Answer 1

So when we scale up this image, all points' distances from the center are multiplied by $k$. We want to then put them back to where they were before.

Thinking about inverse operations, we could just divide by $k[tex], right? But the problem with having a scale factor is we can only multiply.\\Think about fractions. Dividing by a fraction is the same as multiplying by the reciprocal, right? \\So if we think of [tex]k$ as $\frac{k}1$, then the opposite reciprocal would be $\boxed{\frac{1}k}$