Question

dilate $\triangle qrs$ by a scale factor of 3 with the center of dilation at the origin. how can you use the coordinates of point $q$ to find the coordinates of point $q$? add 3 to each coordinate. subtract 3 from each coordinate. multiply each coordinate by 3. divide each coordinate by 3. (chart with $q(-1,3)$, $r(-1,0)$, $s(-3,2)$ on a coordinate grid)

Explanation:

Step1: Recall the rule for dilation

When a point \((x,y)\) is dilated with a scale factor \(k\) and center of dilation at the origin \((0,0)\), the new coordinates \((x',y')\) are given by the formula \(x' = kx\) and \(y'=ky\).

Step2: Apply the rule to point \(Q\)

For point \(Q(-1,3)\) and scale factor \(k = 3\), we multiply each coordinate by \(3\).
If \(x=-1\) and \(y = 3\), then \(x'=3\times(-1)=-3\) and \(y'=3\times3 = 9\).

Answer:

C. Multiply each coordinate by 3.