Show that the quadrilateral whose vertices are (2, -1), (3, 4), (-2, 3) and (-3, -2) is a rhombus.
Let the Vertices of a quadrilateral are: A(2, -1), B(3, 4), C(-2, 3) and D(-3, -2)
Length of side AB =
Length of side AB =
= 
= 
units
Length of side BC =
= 
= 
units
Length of side CD =
= 
= 
units
Length of side DA =
= 
= 
units
Since all sides are of equal length, therefore it is a rhombus.
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