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? Select two options. Consider both clockwise and counterclockwise rotations when answering this question.

R0, 90°
R0, 180°
R0, 270°
R0, –90°
R0, –270°

Answer 1

R0, 90° and R0, –270°.

Reason: A 90° counterclockwise rotation about the origin sends (x,y) -> (−y,x), so (3,−2) -> (2,3). Rotation by −270° (270° clockwise) is the same as 90° counterclockwise.