Given point C (4,6) on the triangle, what are the new coordinates of the point after the triangle is rotated 180° clockwise?
To rotate a point 180° clockwise, we need to multiply the coordinates by the rotation matrix:
```
[cos(θ) -sin(θ)]
[sin(θ) cos(θ)]
```
However, since we need to rotate the point by 180°, we can simplify the rotation matrix to:
```
[-1 0]
[0 -1]
```
To apply this matrix to the point C (4, 6), we can multiply the coordinates by the matrix:
```
[-1 0] [4] [-4]
[0 -1] [6] = [-6]
```
Therefore, the new coordinates of point C after the triangle is rotated 180° clockwise are (-4, -6).