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 the point (5, 8) 270 degrees clockwise, you can follow these steps:

1. **Understanding the rotation**: A clockwise rotation of 270 degrees is equivalent to a counterclockwise rotation of 90 degrees.
2. **Applying the rotation**:
- The formula for rotating a point (x, y) counterclockwise by 90 degrees is (−y, x).

Using this formula on the point (5, 8):
- x = 5
- y = 8

After applying the rotation:
- New x = -y = -8
- New y = x = 5

Thus, the new point after a 270-degree clockwise rotation (or 90-degree counterclockwise rotation) is (−8, 5).

The answer is: **(−8, 5)**.