To find the new coordinates after rotating the point (3, 1) by 180 degrees counterclockwise, we can use the rules of rotation in the Cartesian coordinate system.
When we rotate a point (x, y) by 180 degrees around the origin (0, 0), the new coordinates can be calculated using the following transformation:
- New x-coordinate = -x
- New y-coordinate = -y
Applying this to the point (3, 1):
- New x-coordinate = -3
- New y-coordinate = -1
Therefore, after rotating the point (3, 1) by 180 degrees counterclockwise, the new point will be (-3, -1).