Question

Rotate the point (9, 5)
(
9
,

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

(−9,−5)
(
−
9
,
−
5
)
left parenthesis negative 9 comma negative 5 right parenthesis

(5, 9)
(
5
,

9
)
left parenthesis 5 comma 9 right parenthesis

(−5,−9)
(
−
5
,
−
9
)
left parenthesis negative 5 comma negative 9 right parenthesis

(−5, 9)

Answer 1

To rotate the point (9, 5) by 270 degrees clockwise, we can follow these steps:

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

2. **Apply the rotation formula**:
- For a 90-degree counterclockwise rotation, the transformation of a point (x, y) is given by the new coordinates (−y, x).

3. **Calculating the new point**:
- Here, the point is (9, 5):
- After applying the transformation:
- \( x' = -y = -5 \)
- \( y' = x = 9 \)

So the new point after a 270-degree clockwise rotation of the original point (9, 5) is **(−5, 9)**.

Therefore, the correct response is:

**(−5, 9)**.