Rotate the point (5, 8)

on a geometric figure 270 degrees clockwise. What is the new point?(1 point)
Responses

(8, −5)

(−8, 5)

(8, 5)

(−8, −5)

1 answer

To rotate the point (5, 8) by 270 degrees clockwise, you can use the following transformation rule for rotation:

  • A 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation.

Using the 90-degree counterclockwise rotation rule:

  • The point (x, y) becomes (-y, x).

Applying this to the point (5, 8):

  • x = 5 and y = 8 gives us the new coordinates:
  • (-8, 5)

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