Question

question what is the image of (9, 9) after a dilation by a scale factor of $\frac{1}{3}$ centered at the origin? answer attempt 1 out of 2 ( ) submit answer

Explanation:

Step1: Recall dilation formula

For a point $(x,y)$ dilated by a scale factor $k$ centered at the origin, the new point $(x',y')$ is given by $(x',y')=(k\times x,k\times y)$.

Step2: Substitute values

Here $x = 9$, $y = 9$ and $k=\frac{1}{3}$. So $x'=\frac{1}{3}\times9 = 3$ and $y'=\frac{1}{3}\times9=3$.

Answer:

$(3,3)$