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.

Answer 1

1) Rotation of the polygon -90° clockwise

2) Rotation of the polygon 270° clockwise

Explanation:

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Answer 2

1) Rotation of the polygon -90° clockwise

2) Rotation of the polygon 270° clockwise

Explanation:

Given that the result of the transformation is as follows;

p = (3, -2)

p' = (2, 3)

Therefore, given by the rules of rotation, we have;

When the type of rotation is 90° counterclockwise, which is -90° clockwise

The point of image before rotation = (x, y)

The point of rotated image after the rotation = (-y, x)

Similarly, we have;

When the type of rotation is 270° clockwise,

The point of image before rotation = (x, y)

The point of rotated image after the rotation = (-y, x)

Therefore, the transformations that could have taken place are;

1) Rotation of the polygon -90° clockwise or

2) Rotation of the polygon 270° clockwise