hinken
to limp
To move unevenly and with difficulty because one leg is injured or shorter.
Seit seinem Skiunfall hinkt er auf dem linken Bein.
Since his skiing accident, he has been limping on his left leg.

to limp / lag
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to limp
To move unevenly and with difficulty because one leg is injured or shorter.
Seit seinem Skiunfall hinkt er auf dem linken Bein.
Since his skiing accident, he has been limping on his left leg.

Although 'hinken' (to limp) describes movement, the perfect tense is formed with 'haben' (to have) and not with 'sein' (to be). This is an important exception to the general rule for verbs of movement.
Nach seiner Knieoperation hat er wochenlang gehinkt.
After his knee operation, he limped for weeks.
To express which leg is affected, you use the preposition 'auf' followed by the dative. Alternatively, you can also use 'mit' and the dative.
Das alte Pferd hinkt auf dem linken Hinterbein.
The old horse is limping on its left hind leg.
In the figurative sense, 'hinken' (to lag) is often combined with the adverb 'hinterher' (behind). The expression 'hinterherhinken' means to lag behind compared to others.
Das Projekt hinkt dem Zeitplan deutlich hinterher.
The project is lagging well behind schedule.
The idiom 'der Vergleich hinkt' (the comparison is flawed) is very common. It expresses that a comparison is inappropriate or logically flawed.
Du kannst die Kosten nicht einfach so gegenüberstellen, der Vergleich hinkt.
You can't simply compare the costs like that; the comparison is flawed.
to fit / suit / pass
'passen' and 'hinken' are opposites in expressions with comparisons. A comparison 'passt' when it is coherent and the two things really help explain each other well. A comparison 'hinkt' when it is not quite accurate or is wrong in an important respect. The words can be confused because both say whether a comparison makes sense. But the difference is clear: 'Der Vergleich passt' (the comparison fits) is positive; 'der Vergleich hinkt' (the comparison is flawed) means that the comparison is problematic.

Der Vergleich hinkt, denn ein Kind lernt anders als ein Erwachsener.
The comparison is flawed, because a child learns differently from an adult.
Der Vergleich mit einem Marathon passt gut, weil auch dieses Projekt viel Geduld braucht.
The comparison with a marathon works well because this project also requires a lot of patience.