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:

$$(x,y)\to (y,-x)$$

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

1. $x=9$
2. $y=5$

Now, substituting into the formula:

$$(9,5)\to (5,-9)$$

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:

$$(9,5)\to (-5,9)$$

Therefore, the correct answer from your choices is:

$(-5,9)$ (left parenthesis negative 5 comma 9 right parenthesis).