Question

a triangle has vertices at ( r(1,1) ), ( s(-2,-4) ), and ( t(-3,-3) ). the triangle is transformed according to the rule ( r_{0,270} ). what are the coordinates of ( s )?
( (-4,2) )
( (-2,4) )
( (2,4) )
( (4,-2) )

Explanation:

Step1: Recall the rotation rule

The rule for a \(270^{\circ}\) counter - clockwise rotation about the origin \((x,y)\to(y, - x)\).

Step2: Apply the rule to point \(S(-2,-4)\)

For the point \(S(-2,-4)\), where \(x=-2\) and \(y = - 4\).
After rotation, the new \(x\) - coordinate is \(y=-4\) and the new \(y\) - coordinate is \(-x=-(-2) = 2\).

Answer:

\((-4,2)\)