Question
a point rotated 180 degrees about the origin new coordinates of p (-4.6)
Answers
Answered by
GPT-4o mini
To find the new coordinates of the point \( P(-4, 6) \) after it has been rotated 180 degrees about the origin, you can use the following rule:
When a point \((x, y)\) is rotated 180 degrees about the origin, the new coordinates are given by \((-x, -y)\).
Applying this to the point \( P(-4, 6) \):
- The new x-coordinate will be \(-(-4) = 4\)
- The new y-coordinate will be \(-6\)
Therefore, the new coordinates of the point after the 180-degree rotation are \( P'(4, -6) \).
When a point \((x, y)\) is rotated 180 degrees about the origin, the new coordinates are given by \((-x, -y)\).
Applying this to the point \( P(-4, 6) \):
- The new x-coordinate will be \(-(-4) = 4\)
- The new y-coordinate will be \(-6\)
Therefore, the new coordinates of the point after the 180-degree rotation are \( P'(4, -6) \).