Question

Rotate the point (5, 8)
on a geometric figure 270 degrees clockwise. What is the new point?(1 point)
Responses

(−8, 5)
left parenthesis negative 8 comma 5 right parenthesis

(8, −5)
left parenthesis 8 comma negative 5 right parenthesis

(8, 5)
left parenthesis 8 comma 5 right parenthesis

(−8, −5)

Answer 1

To rotate a point (x, y) 270 degrees clockwise, you can use the following formula for the new coordinates (x', y'):

\[
(x', y') = (y, -x)
\]

For the point (5, 8):

- x = 5
- y = 8

Applying the formula:

\[
(x', y') = (8, -5)
\]

Thus, the new point after a 270-degree clockwise rotation of (5, 8) is (8, -5).

The correct response is:

**(8, −5)**