The complete question is
"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. R0, 90° R0, 180° R0, 270° R0, –90° R0, –270°"
The transformations that could have taken place are R0, 270°or R0, -90°
Let the vertex be V.
So, we have:
V = (3, –2) before rotation
V' = (2, 3) after rotation
The possible transformations from V to V' are;
A 90 degrees counterclockwise rotation (r0, -90) is given :
(x, y) --(-y , x)
So,
(3, –2) --- (2, 3)
A 270 degrees clockwise rotation (r0, 270) is given :
(x, y) --(-y, x)
So,
(3, –2) --- (2, 3)
By comparing the endpoints of the rotations to V' = (2, 3), we can conclude that the transformations that could have taken place are: r0, 270°or r0, -90°.
Read more about transformations at:
brainly.com/question/11707700
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