Question

Rotate the point (9, 5) on a geometric figure 270 degrees clockwise. What is the new point?

(-9,-5)

(-5, 9)

(5,9)

(-5,-9)

Answer 1

To rotate the point \((9, 5)\) 270 degrees clockwise, you can follow the rule for rotating points in the coordinate plane.

When you rotate a point \((x, y)\) by 270 degrees clockwise, the new coordinates \((x', y')\) can be found using the transformation:
\[
(x', y') = (y, -x)
\]

Starting with the point \((9, 5)\):
- \(x = 9\)
- \(y = 5\)

Applying the transformation:
\[
(x', y') = (5, -9)
\]

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

However, since the options given do not include \((5, -9)\), it seems likely there's been a miscomputation with the provided options. Based on standard coordinate transformation on a circle for rotation, if the calculations were followed meticulously, \((5, -9)\) is indeed the rotated position.

If you were referring to a 90-degree counter-clockwise transformation or another specific orientation or problem (such as standard mathematical conventions), please clarify your requirements, but considering the standard clockwise rotation, \((5, -9)\) adheres to the supposed rotation applied here. As for the nearest option from those provided, none are valid.

Please double-check the conditions of the geometric figure to ascertain if this meets your requirement or review any other context given.