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^{circ}} ). what are the coordinates of ( s )?
( (-4,2) )
( (-2,4) )
( (2,4) )
( (4,-2) )

Explanation:

Step1: Recall the rotation rule

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

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

For the point \(S(x = - 2,y=-4)\), after applying the rotation rule \(R_{270^{\circ}}\), we substitute \(x=-2\) and \(y = - 4\) into the formula \((x,y)\to(y,-x)\).
We get \((-2,-4)\to(-4,2)\)

Answer:

A. \((-4,2)\)