Final answer:
After rotating point X (3, 4) by 180°, the ordered pair of X' will be (-3, -4), corresponding to Option 2.
Step-by-step explanation:
When a point is rotated 180° around the origin, both the x-coordinate and the y-coordinate change signs. Therefore, after rotating point X (3, 4) by 180°, the new coordinates will be X'(-3, -4).
To find this, we negate both the original x and y values of the point because a 180° rotation is essentially a half turn around the origin, which places the point on the opposite side of both axes.