Long Answer Type
 then O is the point of intersection of lines joining the middle points of the opposite sides of ABCD.If 
 and 
, show that
(i)Â 
 have the same direction and 
(ii)Â 
 have opposite direction andÂ
Short Answer TypeLong Answer Type
 in terms of 
.
Let O be the centre of regular octagon  ABCDEFGH.
      
    O is mid-point of each of the diagonals AE, BF, CG and DH.
         O is mid-point of AE.
      
      
       
             ...(1)
Similarly 
                                 ...(2)
                       ...(3)
                       ...(4)
Adding (1), (2), (3) and (4). we get,
Hence the result.
        Â
, prove that
       (ii)    
     (iii) 
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