Copy row from table to table

What is the easiest way to copy a particular row from one table to
another (assuming all the columns are exactly the same).  I want to
maintain a table ('backup_table') that has rows I have (or will be)
deleting from my 'original_table'. (Both tables have the same 68 columns).

I've tried

INSERT INTO backup_table SELECT * FROM original_table WHERE id='2305'

COPY seems to only work between tables and files.

Thanks,
Bruce