The process of 'dry reforming'  is different from that of 'steam reforming' since the first uses CO2 as oxidant and the second uses water as oxidant .

so the dry process is carried out without water addition.

Thank you, Paola.

CH4+CO2=2CO+2H2  this is CO2 (dry) reforming

CH4+H2O=CO+3H2 this is steam reforming

You are right.  It is dry because of no water addition and the O for partial oxidation of the HC comes from CO2 which itself converts to CO.  Just as a corrolary, Solid CO2 is called dry ice

steam reforming

CH4+H2O=CO+3H2

CO+H2O=CO2+H2