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:

A) Rotation 90%
B) Rotation 210%
C) Rotation 90°
D) Rotation 210°

Answer 1

Both Rotation 90° and Rotation 210° could have taken place. The vertex would move through a smaller arc length if it is closer to the center of rotation.

Step-by-step explanation:

Both Rotation 90° and Rotation 210° could have taken place. When a point on a polygon rotates about a certain angle, all the other points on the polygon rotate by the same angle. However, the point that is farther from the center of rotation moves through a greater arc length compared to the point that is closer to the center of rotation.

In this case, the vertex (3, 2) initially moves to (2, 3) after the rotation. This means that the vertex is closer to the center of rotation, resulting in a smaller arc length. Therefore, the rotation angle could be 90° or 210°.