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Question
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 :
Options
A.
z
1
+ z
4
= z
2
+ z
3
B.
z
1
+ z
3
= z
2
+ z
4
C.
z
1
+ z
2
= z
3
+ z
4
D.
none
Solution
⇒ z
1
+ z
3
= z
2
+ z
4
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⇒ z1 + z3 = z2 + z4