Your W2 should tell you which state taxes were withheld for (in box 15). Since you live in DC, this should be DC and you then only need to file DC taxes.
"If you work in Maryland but reside in a reciprocal tax state (Pennsylvania, Virginia, West Virginia or Washington, D.C.),and your only income from a Maryland source is wages, you can be exempt from Maryland income tax and Maryland withholding tax on those wages."
Source: http://taxes.marylandtaxes.com/Individual_Taxes/Individual_Tax_Types/Income_Tax/Filing_Information/D...