Question

Rotate the point (9, 5) on a line segment 180 degrees clockwise. What is the new point?

Answer 1

To rotate a point 180 degrees clockwise around another point, you can use the following steps:

1. Identify the original point, which in this case is \( (9, 5) \).
2. To rotate a point 180 degrees around the origin, you negate both the x and y coordinates. So the new coordinates would be:
\[
(x', y') = (-x, -y)
\]

Using the coordinates of the original point:
\[
(x', y') = (-9, -5)
\]

3. However, since we want to rotate around the origin (0,0), the point \( (9, 5) \) when rotated 180 degrees gives us \( (-9, -5) \).

Therefore, the new point after rotating \( (9, 5) \) by 180 degrees clockwise is \( (-9, -5) \).