Motion to Show Cause versus Motion for Contempt

That is where my confusion lies. If the motion to show cause was denied then how could the contempt motion be granted and heard? Would the Judge not need to see cause to grant the motion for contempt. If so, why how would a show cause be denied and a motion for contempt denied? I thought the two more or less went hand in hand.

Does the other party not need to show if an order to show cause was denied?