The ends of the segment A (5, -2, 1) and B (5, 4, 5). find a point symmetrical to the midpoint of the line

The ends of the segment A (5, -2, 1) and B (5, 4, 5). find a point symmetrical to the midpoint of the line segment relative to the origin.

The coordinates of the middle of the segment are equal to half of the sums of the coordinates of the segment:

xc = (xA + xB) / 2 = (5 + 5) / 2 = 5,

yC = (yA + yB) / 2 = (-2 + 4) / 2 = 1,

zC = (zA + zB) / 2 = (1 + 5) / 2 = 3.

Midpoint of segment C (5, 1, 3).

A point symmetric about the origin of coordinates can be obtained by changing the signs of the coordinates of the midpoint of the segment:

xC1 = -5, yC1 = -1, zC1 = -3.

C1 = (-5, -1, -3).

Answer: C1 = (-5, -1, -3).