Rotate the point (9, 5) on a geometric figure 270 degrees clockwise. What is the new point?(1 point)
1.(-9,-5)
2.(-5,9)
3.(5,9)
4.(-5,-9)
To rotate a point 270 degrees clockwise, we can first visualize rotating 90 degrees clockwise, and then repeating that process three times since we want to rotate 270 degrees.
The point (9, 5) will first be rotated 90 degrees clockwise to become (-5, 9). Rotating it three more times 90 degrees clockwise, we have:
1st rotation: (-5, 9) -> (9, 5)
2nd rotation: (9, 5) -> (5, -9)
3rd rotation: (5, -9) -> (-9, -5)
So, the new point after a 270-degree clockwise rotation is option 1, (-9, -5).
To rotate a point 270 degrees clockwise, you can swap the x and y coordinates of the point and then change the sign of the new x coordinate.
The given point is (9, 5).
Swapping the x and y coordinates gives (5, 9).
Changing the sign of the new x coordinate gives (-5, 9).
Therefore, the new point after rotating 270 degrees clockwise is option 2: (-5, 9).