Question

graph rhombus pqrs with p(-1, -1), q(0, 2), r(3, 3), s(2, 0), and its image after a dilation of 3. what are the coordinates of s?

Explanation:

Step1: Recall dilation rule

For a dilation of scale - factor $k$ about the origin, the rule is $(x,y)\to(kx,ky)$. Here $k = 3$.

Step2: Apply dilation to point $S$

The coordinates of point $S$ are $(2,0)$. Using the dilation rule, we have $x = 2$ and $y = 0$. Then $x'=k\times x=3\times2 = 6$ and $y'=k\times y=3\times0 = 0$.

Answer:

$(6,0)$