[" The points "z_(1),z_(2),z_(3),z_(4)" are the vertices of a parallelogiam (in a "],[" complex plane) taken in order if: "]

The points z_(1),z_(2),z_(3),z_(4) in complex plane are the vertices of a parallelogram, taken in order if :

The points z_(1),z_(2),z_(3),z_(4) in the complex plane are the vertices of a parallelogram taken in order if and only if

The points z_(1)z_(2)z_(3)z_(4) in the complex plane are the vertices of a parallelgram taken in order if and only if :

The point z_(1),z_(2),z_(3),z_(4) in the complex plane are the vertices of a parallogram taken in order, if and only if. (1) z _(1) +z_(4)=z_(2)+z_(3) (2) z_(1)+z_(3) =z_(2) +z_(4) (3) z_(1)+z_(2) =z_(3)+z_(4) (4) z_(1) + z_(3) ne z_(2) +z_(4)

Find the relation if z_(1),z_(2),z_(3),z_(4) are the affixes of the vertices of a parallelogram taken in order.

The points z_1, z_2, z_3, z_4 in the complex plane form the vertices of a parallelogram iff :