The museum said the figures were loaded onto a bus from Big Bus Tours at Union Station around 9 a.m. Thursday and were taken past the Capitol Building and the Lincoln Memorial.
The figures, which were updated to reflect the president and first lady's aging since the figures were created in 2008, were greeted at Madame Tussauds' by figures of Bill Clinton, Hillary Clinton, John F. Kennedy and Jackie Kennedy.
The tour was planned in honor of Obama's scheduled inauguration next week for his second term in office.
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