Question

Rotate the point (9, 5)
on a geometric figure 270 degrees clockwise. What is the new point?(1 point)
Responses

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

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

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

(−9,−5)

Answer 1

To rotate the point \((9, 5)\) 270 degrees clockwise, we can use the rotation rules. Rotating a point \((x, y)\) 270 degrees clockwise is equivalent to rotating it 90 degrees counterclockwise. The formula for rotating a point 90 degrees counterclockwise is:

\[
(x, y) \rightarrow (-y, x)
\]

Applying this formula to the point \((9, 5)\):

\[
(9, 5) \rightarrow (-5, 9)
\]

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

Therefore, the correct response is:

\((-5, 9)\)