Question

Rotate the point (5, 8)
(
5
,

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

(8, −5)
(
8
,

−
5
)
left parenthesis 8 comma negative 5 right parenthesis

(8, 5)
(
8
,

5
)
left parenthesis 8 comma 5 right parenthesis

(−8, −5)
(
−
8
,

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

(−8, 5)

Answer 1

To rotate the point (5, 8) by 270 degrees clockwise, we can use the following method:

1. **Understand the rotation**: A 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation.

2. **Use the rotation rule**: For a 90-degree counterclockwise rotation, the point (x, y) becomes (-y, x).

3. **Apply the rule**:
- Starting point: (5, 8)
- After 90-degree counterclockwise rotation: (-8, 5)

Thus, rotating (5, 8) by 270 degrees clockwise gives the point **(-8, 5)**.

So the answer is:
**(−8, 5)**.