'consistently' originates from Latin, specifically the word 'consistere,' where 'con-' meant 'together' and 'sistere' meant 'to stand.' 'Led' is the past participle of 'lead,' which originates from Old English 'lǣdan,' meaning 'to guide or conduct.'

'Consistere' transformed into the French word 'consister,' and eventually became the modern English word 'consistent.' 'Lǣdan' evolved into the Middle English 'leden,' eventually becoming 'lead.'

Initially, 'consistere' meant 'to stand together,' but over time it evolved into its current meaning of 'being in agreement or harmony.' 'Lead' has largely retained its original meaning of 'to guide or conduct.'