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

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

For point \(S\) with \(x=-2\) and \(y = - 4\), after rotation, the \(x\) - coordinate of the new point \(S'\) is \(y=-4\) and the \(y\) - coordinate of the new point \(S'\) is \(-x=-(-2) = 2\).

Answer:

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