To rotate the point \((9, 5)\) by 270 degrees clockwise, you can think of this as a 90 degrees counterclockwise rotation. The formulas for rotation are:
- For 90 degrees counterclockwise: \((x, y) \rightarrow (-y, x)\)
- For 270 degrees clockwise: \((x, y) \rightarrow (y, -x)\)
Let's apply the 270 degrees clockwise (or 90 degrees counterclockwise) rotation to the point \((9, 5)\):
Using the transformation \((x, y) \rightarrow (y, -x)\),
- \(x = 9\)
- \(y = 5\)
Now applying the transformation: \[ (9, 5) \rightarrow (5, -9) \]
The new point after a 270 degrees clockwise rotation is \((5, -9)\).
Since this point is not in your response options, it appears there may be a misunderstanding in either the provided options or the math. Please verify the options again:
Based on the standard rotation rules, if you were to additionally check:
- (−9,−5)
- (5,9)
- (−5,−9)
- (−5,9)
None of them match \((5, -9)\), suggesting that there might be confusion.
For clarity: A 270-degree clockwise rotation of \((9,5)\) should yield \((5,-9)\). Please check your options again, or let me know if you'd like further assistance!