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Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point?

(-8,-5)

(-8,5)

(8,-5)

(8,5)

1 answer

To rotate a point \( (x, y) \) around the origin \( (0,0) \) by 270 degrees clockwise, you can use the following transformation formula:

  • The new coordinates \( (x', y') \) after rotation are given by: \[ x' = y \] \[ y' = -x \]

Given the point \( (5, 8) \), we apply the formulas:

  1. \( x' = y = 8 \)
  2. \( y' = -x = -5 \)

Thus, the new point after rotating \( (5, 8) \) by 270 degrees clockwise is \( (8, -5) \).

Therefore, the correct answer is:

(8, -5)