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?
multiply each coordinate by 3.
what are the coordinates of point q?
point q: (?,?)
q(-1,3)
s(-3,2)
r(-1,0)

Explanation:

Step1: Identify the coordinates of point \( Q \)

From the graph, the coordinates of point \( Q \) are \( (-1,3) \).

Step2: Apply the dilation rule

Since the scale factor is \( 3 \) and the center of dilation is at the origin \((x,y)\to(kx,ky)\) where \(k = 3\).
For \(x=-1\) and \(y = 3\), we calculate:
\(x'=3\times(-1)=-3\) and \(y'=3\times3 = 9\)

Answer:

\((-3,9)\)