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? Check all that apply.

Answer 1

The vertex has a rotation (3,-2) --> (2,3). 

Or in x and y coordinates, (x,y) --> (-y,x).

The rotation that has this said rule is R0, 90°. And 90° is equal to –270°. 

The answers are:

R0, 90°

R0, –270°.

Additional information:

R0, 180° has the rule (x, y) → (-x, -y)

R0, 270° and R0, –90° has the rule  (x, y) → (y, -x).

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Answer 2

The vertex has a rotation (3,-2) --> (2,3). 
Or in x and y coordinates, (x,y) --> (-y,x).
The rotation that has this said rule is R0, 90°. And 90° is equal to –270°. 
The answers are:
R0, 90°
R0, –270°.
Additional information:
R0, 180° has the rule (x, y) → (-x, -y)
R0, 270° and R0, –90° has the rule  (x, y) → (y, -x).