Question

one vertex of a polygon is located at (3, −2). after a rotation, the vertex is located at (2, 3). which transformations could have taken place? choose two correct answers. options: ( r_{0, 90^circ} ), ( r_{0, 180^circ} ), ( r_{0, -90^circ} ), ( r_{0, 270^circ} ), ( r_{0, -270^circ} )

Explanation:

Step1: Recall rotation formulas

For a point \((x,y)\) rotated around origin: 90° CCW: \((-y,x)\); -270°=90° CCW.

Step2: Apply 90° CCW to (3,-2)

\((-(-2),3)=(2,3)\), matches image.

Step3: Apply -270° (same as 90° CCW)

Also gives \((2,3)\).

Answer:

R0,90°, R0,-270°