Rules that prevent King from killing out of Check?

At the risk of embarrassment,....

   Can a King kill a checkmate threat if doing so (occupying the threat's board position), doesn't expose the King to check exposure from another piece?...Or,... does the king have to have some other piece do his defense killing for him?

I ask that because one of the tactic puzzles moved the King away from a Check Threat when, to my eye, the king could have just dispatched the social interloper & that would have been all there was to it.

I am new to the rules so ???

The king can kill a checkmate threat as long as he doesn't move into threat (as long as there isn't any piece defending the piece the king attacks).

Do you have the link to the tactic puzzle?

I am new to this environ & presently don't know where I noticed it....I will send it when it re-emerges.

Thank you for response!!

The pieces are made of glass, plastic, cut wood, or other materials that cannot be killed.

Given your confusion over the language for captures, though, the answer is yes: the king can capture an attacking piece if it is undefended. It happens frequently, for example, in the opening known as the Berlin Wall.

It's possible that the tactic puzzle had a trick to where if you did indeed capture the attacking piece there would follow a mate or loss of material on the moves thereafter, if so the solution would be to move away even though capturing the attacker was a legal move.

hey i have one question like if there is a king with a castle for his defense guarding him can he check the other king with the king cuz i think the other king can't kill him cuz he will die too by the castle which is suicide

You can't place your king in check, so no, you can't check your opponent's king with your own(I think that's what you're asking.)

Can a king kill the check token if it is in range of king and has no back support? Like if a pawn comes to kill the king can the king kill it it there is no ack support ?

Yes. If the checking piece is not defended, the King can just capture it.

In chess tournaments, If Player-A's pawn is there opposite to the king of Player-B, and the there is a support to the pawn. If the king kills pawn ignoring supportive power, then is the game over and player-A won because the king comes into direct threat of the power? Or the player-B should warn the player-A that his king will come into the direct check if he kills the pawn.

In a tournament, there is an Arbiter (a referee).

If someone makes an illegal move (such as putting their own King in check) you just call over the Arbiter and tell him that the opponent has made an illegal move. The Arbiter will make him take the move back, and will reward you a couple of minutes extra time on the clock, to make up for the time you lost because of your opponent's illegal move.