Question

Rotate the point (9, 5)
(
9
,

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

(5, 9)
(
5
,

9
)
left parenthesis 5 comma 9 right parenthesis

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

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

(−5, 9)

Answer 1

To rotate the point (9, 5) by 270 degrees clockwise, we can use the rotation formulas for a point (x, y) around the origin:

- A rotation of 90 degrees clockwise: (x, y) → (y, -x)
- A rotation of 180 degrees clockwise: (x, y) → (-x, -y)
- A rotation of 270 degrees clockwise (or 90 degrees counterclockwise): (x, y) → (-y, x)

Applying the 270 degrees clockwise rotation formula:

Starting point: (9, 5)

After rotation:
\[
(-y, x) = (-5, 9)
\]

Thus, the new point after rotating (9, 5) by 270 degrees clockwise is **(-5, 9)**.

The correct response is:
\[
(-5, 9)
\]