Question

a nonagon is graphed on a coordinate grid and then dilated by a scale factor of 6 with the origin as the center of dilation. vertex a of the original nonagon is located at (3, -10). write the ordered pair that represents the location of vertex a after the dilation.

Explanation:

Step1: Recall dilation rule

When dilating a point $(x,y)$ by a scale factor $k$ with the origin as the center of dilation, the new point $(x',y')$ is given by $(kx,ky)$.

Step2: Identify values

Here, $x = 3$, $y=- 10$ and $k = 6$.

Step3: Calculate new coordinates

$x'=k\times x=6\times3 = 18$.
$y'=k\times y=6\times(-10)=-60$.

Answer:

$(18,-60)$