Rotate the point (9, 5)

Question

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

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

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

(−5, 9)

Answer 1

To rotate the point (9, 5) 270 degrees clockwise, you can first note that rotating 270 degrees clockwise is equivalent to rotating 90 degrees counterclockwise.

The formula for a 90-degree counterclockwise rotation of a point (x, y) is given by:

\[ (x', y') = (-y, x) \]

Applying this to the point (9, 5):

1. \(-y = -5\)
2. \(x = 9\)

Thus, the new coordinates after rotation are:

\[ (-5, 9) \]

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

The correct response is:

(−5, 9)