Question

dilate △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. q (-1,3) s (-3,2) r (-1,0)

Explanation:

Step1: Recall Dilation Rule

When dilating a point \((x,y)\) with center at the origin and scale factor \(k\), the new coordinates \((x',y')\) are given by \(x' = kx\) and \(y' = ky\), i.e., multiply each coordinate by \(k\).

Step2: Apply to Point Q

Here, scale factor \(k = 3\) and \(Q(-1,3)\). So, \(Q'\) coordinates will be \((-1\times3, 3\times3)=(-3,9)\), which is multiplying each coordinate of \(Q\) by 3.

Answer:

Multiply each coordinate by 3. (Corresponding option: Multiply each coordinate by 3.)