Control Formating from one cell to another celll in workbook

Fairly new at Excel 2007. I need help with this issue and need help on how to imploment the control. I have 2 sheets in my workbook. On sheet 2 is my control information. On sheet 1 is my control. I have cell A1 set up as a "Data Validation" "In-cell dropdown" taking 10 values from sheet 2 cells A1-A10. Is there a way that I can get cell A2 on sheet 1 to take corisponding infromation from cells B1-B2 on sheet 2 to auto fill in cell A2 on sheet 1.
Example:
If A1(sheet1) is A1(sheet2) then A2(sheet1) is B1 or
If A1(sheet1) is A2(sheet2) then A2(sheet1) is B2 or
If A1(sheet1) is A3(sheet2) then A2(sheet1) is B3....... and so on.

Thanks for the help.

I figured it out. Thanks to twiggywales and his formula. I just needed to adjust it to work for my workbook.
=VLOOKUP($C4,Sheet1!B1:C10,2,FALSE)
*Note: You must have False at the end for formula to work correctly.
Thanks again twiggywales