Rotate the point (9, 5)

Question

(
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).