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.
r_{0,270^{circ}}
r_{0,-270^{circ}}
r_{0,90^{circ}}
r_{0,-90^{circ}}
r_{0,180^{circ}}

Explanation:

Step1: Recall rotation formulas

90° counterclockwise: $(x,y)\to(-y,x)$; -270°=90° counterclockwise.

Step2: Apply to (3,-2)

For 90°: $(-(-2),3)=(2,3)$. For -270°: same as 90°, result (2,3).

Answer:

R₀,90°, R₀,-270°