Alright, so if I'm getting this right the concentration of NAOH should equal the concentration of unknown acid
Titration is not about finding equal concentrations, but about finding equivalent amount of substance. In some particular cases calculations look identical.
but if that's true then what's the point of C1V1=C2V2? Is it just for general purpose dilution?
Apparently this equation served its purpose - it is shown to students to confuse them, and it worked in your case.
You add NaOH to the acid solution till amount added is exactly that needed to neutralize the acid.
Number of moles of monoprotic acid can be calculated using n
A=C
AV
A. Same can be told about number of moles of monoprotic base n
B=C
BV
B. As they react 1:1, at the equivalence point we have used exactly the same number of base as there was acid present, which can be written as C
AV
A=C
BV
B. Note this works ONLY for substances that react 1:1 (so it won't work for the titration of sulfuric acid, as explained on the page I linked to earlier). Unfortunately, instead of using indexes like A and B, teachers use 1 and 2, which are the same as used in dilution calculation. This equation LOOKS like the one used in dilution, but it is completely unrelated.