Is it permissible to score in a game without a touchdown or field goal?

Scoring in football can occur through various plays, one of which is the safety, making it possible to score points without the need for a touchdown or field goal. A safety occurs when the offensive team is tackled in their own end zone, resulting in two points for the defensive team. This unique scoring method highlights the importance of both offensive and defensive play, as it demonstrates that a team can accumulate points not only through typical offensive maneuvers like touchdowns and field goals but also through defensive efforts.

The clarification surrounding the legality of scoring through safeties is crucial. It showcases the rules of the game that allow defensive play to contribute to a team’s score. Thus, scoring through a safety, particularly when caused by the defense, is indeed valid and is recognized under NFHS football rules.

Other choices do not accurately reflect how scoring can occur. Touchdowns and field goals represent the primary scoring methods, and it's essential to acknowledge safeties as a separate route to accumulate points in a game. The option mentioning extra points pertains to an aftertouchdown scenario and does not stand alone as a scoring mechanism.