The new coordinates of the point after the triangle is rotated 180° clockwise are (-4, -6).
In Mathematics and Euclidean Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the clockwise or counterclockwise rotation of a geometric figure about the origin by 180° is given by this mathematical expression:
(x, y) → (-x, -y)
Point C (4, 6) → Point C' (-4, -6)
In conclusion, we can logically deduce that the new coordinates of the point after triangle CED is rotated 180° clockwise are (-4, -6).