Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point?(1 point) Responses (8, 5) left parenthesis 8 comma 5 right parenthesis (−8, −5) left parenthesis negative 8 comma negative 5 right parenthesis (−8, 5) left parenthesis negative 8 comma 5 right parenthesis (8, −5)

1 answer

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

\[ (x, y) \rightarrow (y, -x) \]

For the point (5, 8):

  1. Apply the transformation: \[ (5, 8) \rightarrow (8, -5) \]

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

Thus, the correct response is (8, -5).