Applied Mechanics and Graphic Statics
Newton’s Law of Motion is:

Everybody continues in its state of rest or of uniform motion in a straight line, unless it is acted upon by some external force
The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts
To every action, there is always an equal and opposite reaction
All listed here

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Applied Mechanics and Graphic Statics
If a set of given forces are such that their free vectors build a closed polygon, then

The resultant force and resultant couple are always zero
The resultant force and resultant couple both may not be zero
The resultant force is zero but resultant couple may not be zero
The resultant force is zero but resultant couple is not zero

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