reliability
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can be relied on
Describes the quality that someone or something can be relied on completely; reliability.
Auf meine Kollegin ist immer Verlass, sie erledigt ihre Aufgaben pünktlich.
My colleague can always be relied on; she completes her tasks on time.
The noun 'Verlass' is used almost exclusively in the fixed expression 'Auf jemanden/etwas ist Verlass' (someone/something can be relied on). It describes the quality of reliability.
Auf meinen besten Freund ist immer Verlass.
My best friend can always be relied on.
'Der Verlass' is the noun related to the reflexive verb 'sich verlassen auf' (to rely on). Both express the idea of trust and reliability.
Ich kann mich auf dich verlassen.
I can rely on you.
In the fixed expression, the person or thing that is reliable is always introduced with the preposition 'auf' and the accusative.
Auf die Qualität dieser Marke ist einfach Verlass.
The quality of this brand can simply be relied on.
safety / certainty / security
'die Sicherheit' and 'der Verlass' can both have to do with reliability. Here, 'Sicherheit' means the certainty that something is correct or will work. 'Verlass' is almost always used in the phrase 'auf jemanden oder etwas ist Verlass' (someone or something can be relied on). This means that you can really trust a person or thing. Learners may confuse the words because both express a positive feeling of trust. In practice: you have Sicherheit, but auf jemanden ist Verlass.
Auf Mehmet ist immer Verlass, wenn jemand Hilfe braucht.
Mehmet can always be relied on when someone needs help.
Die genaue Planung gibt dem Team Sicherheit für den Termin.
The detailed planning gives the team certainty about the appointment.