Question

Write a rule for rotating 270 degrees clockwise about origin. a) (x, y) -> (-y, x) b) (x, y) -> (y, -x) c) (x, y) -> (-x, -y) d) (x, y) -> (x, -y)

Answer 1

The rule for rotating 270 degrees clockwise about the origin is (b) (x, y) -> (y, -x).

Step-by-step explanation:

In a rotation of 270 degrees clockwise, the rule would follow this transformation: (x, y) -> (y, -x).

This transformation implies that if you had a point on a graph, and you were to rotate it 270 degrees clockwise around the origin (0, 0), the new transformed point would have its original x-coordinate replace the y-coordinate and the opposite of the original y-coordinate replace the x-coordinate.

Understanding the direction and degree of rotation can be critical in many fields including computer graphics and physics, where rotational motion is often studied.

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