Step and Trek

Step

Step verb - To go on foot.

Usage example: I stepped across the street for a quick lunch at the new diner

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Trek and step are semantically related In some cases you can use "Trek" instead a verb "Step".

Nearby Words: stepped, stepping, stepper

Trek verb - To take a trip especially of some distance.

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Step and trek are semantically related in activity topic. Sometimes you can use "Step" instead a verb "Trek".

old	old step	old trek
full	full step	full trek
short	short step	short trek
simple	simple step	simple trek
Other adjectives: real, big, wrong, little, early, final, few, last.

distance	step distance	trek distance
head	step head	trek head

Similarly the Star Trek: Enterprise episode "In a Mirror, Darkly" (though the Deep Space Nine one did go one step beyond by seamlessly integrating original footage with new characters).

Source: Sugar Wiki / Visual Effects of Awesome
Of course, that same step was left out of the original Star Trek episode, so one could argue they were just being authentic.

Source: And Some Other Stuff
Forty years later, in the prequel series Star Trek: Enterprise, we meet the young rebel as she takes her first step into Vulcan's leadership.

Source: Legendary in the Sequel