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

Answer 1

To rotate the point \((9, 5)\) 270 degrees clockwise, we can first interpret this as a 90 degrees counterclockwise rotation (since rotating 270 degrees clockwise is equivalent to rotating 90 degrees counterclockwise).

The rotation formula for a point \((x, y)\) to rotate it 90 degrees counterclockwise is given by:

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

Now applying the formula to the point \((9, 5)\):

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

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

The answer is \((-5, 9)\).