Question

1. what point of an object must be supported in order to balance the object?

center of inertia
center of gravity
center of torque
center of rotation

Explanation:

The center of gravity is the point where the entire weight of an object can be considered to act. Supporting this point ensures the net torque on the object is zero, allowing it to balance stably. The other options do not relate to the balance of a freely supported object: center of inertia relates to motion resistance, center of torque is not a standard term for this purpose, and center of rotation refers to a pivot point for rotational motion, not balance of the whole object's weight.

Answer:

center of gravity