This may seem like a very amateur question, but I was playing chess with my dad, and when my dad won, I realized that I could've captured my own pawn in order to evade checkmate. I tried to do this move, but my dad said that it was cheating to do so. So can anybody settle this debate?
From the FIDE Laws of Chess, §3.1:
It is not permitted to move a piece to a square occupied by a piece of the same colour. If a piece moves to a square occupied by an opponent’s piece the latter is captured and removed from the chessboard as part of the same move.
So you can't capture your own piece.
Very basic Question : You can never capture your piece.
Be it anybody at the start of their Chess Career or even a Professional it may feel sometimes that if I would not have my own Pawn in front of my Piece I could have captured my Opponents Piece or could have started a Great attack but this is where the embodiment of a high level Chess thinking starts .
You need to either sometimes sacrifice your pawn or piece in order to achieve a greater Activity or occupy a file in order to squeeze your Opponent .
Your imagination needs to be extended in order to think deeper to evade that checkmate from your Dad .