Rotate the point (9, 5)

Question

on a geometric figure 270 degrees clockwise. What is the new point

Answer 1

To rotate a point (x, y) around the origin by an angle of θ degrees clockwise, you can use the following transformation formulas:

1. \( x' = y \)
2. \( y' = -x \)

For a 270-degree clockwise rotation, we can recognize that this is equivalent to a 90-degree counterclockwise rotation. Thus, we will use the transformation for a 90-degree counterclockwise rotation:

1. \( x' = -y \)
2. \( y' = x \)

Starting with the point (9, 5):

• Apply the transformation:
  • \( x' = -y = -5 \)
  • \( y' = x = 9 \)

So the new point after rotating (9, 5) by 270 degrees clockwise is \((-5, 9)\).