Question

a triangle has vertices at r(1,1), s(-2,-4), and t(-3,-3). the triangle is transformed according to the rule r0,270°. what are the coordinates of s? (2, 4) (4,-2) (-2, 4) (-4, 2)

Explanation:

Step1: Recall rotation rule

The rule $R_{0,270^{\circ}}$ for rotating a point $(x,y)$ counter - clockwise about the origin by $270^{\circ}$ is $(x,y)\to(y, - x)$.

Step2: Apply rule to point S

For point $S(-2,-4)$, substitute $x=-2$ and $y = - 4$ into the rule. We get $(-2,-4)\to(-4,2)$.

Answer:

$(-4,2)$