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 9 right parenthesis

(−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

Answer 1

To rotate a point \((x, y)\) 270 degrees clockwise, we can use the formula for rotation:

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

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

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

Now, substituting into the formula:

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

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

However, it appears that this point is not included in your responses. It seems there might have been a misidentification. If this point is indeed what you're looking for, then let's verify the rotation visually:

When rotating 270 degrees clockwise, the equivalent is rotating 90 degrees counterclockwise. So:

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

Therefore, the correct answer from your choices is:

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