The vertices of the quadrilateral ABCD in the complex plane represent the complex numbers 21, 22, 23 and 24 respectively. (a) If 2₁ - 22 = 24 - 23, show that the quadrilateral ABCD is a parallelogram. (b) If 2₁-22 =24₁ — 23 and 2₁ - 23 = i(24-22), show that ABCD is a square.

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