Question

dilate △qrs by a scale factor of 3 with the center of dilation at the origin.
point q: (-3, 9)
what are the coordinates of point r and point s?
point r: (, )
point s: (, )

Explanation:

Step1: Recall the dilation formula

When dilating a point \((x,y)\) with a scale factor \(k\) and center of dilation at the origin \((0,0)\), the formula is \((x',y')=(k\times x,k\times y)\). Here \(k = 3\).

Step2: Find the coordinates of \(R'\)

For point \(R(-1,0)\), using the formula \((x',y')=(3\times(-1),3\times0)\).
So \(x'=-3\) and \(y' = 0\).

Step3: Find the coordinates of \(S'\)

For point \(S(-3,2)\), using the formula \((x',y')=(3\times(-3),3\times2)\).
So \(x'=-9\) and \(y'=6\).

Answer:

Point \(R'(-3,0)\), Point \(S'(-9,6)\)