Question

If the vertices of a quadrilateral be A=1+2i B=-3+i C=-2-3i and D=2-2i, then the quadrilateral is

• A. Parallelogram
• B. Rectangle
• C. Square
• D. Rhombus

Answer 1

The correct option is C

Square

Given the vertices of quadrilateral

A(1+2i),B(-3+i),C(-2-3i) And D(2-2i)

Now, AB=$\sqrt{16+1}$=$\sqrt{17}$,BC=$\sqrt{16+1}$=$\sqrt{17}$

CD=$\sqrt{16+1}$=$\sqrt{17}$, DA=$\sqrt{16+1}$=$\sqrt{17}$

AC=$\sqrt{9+25}$=$\sqrt{34}$,BD=$\sqrt{25+9}$=$\sqrt{34}$

Hence it is a square.