Answer
rectangle
Work Step by Step
Lets take M(0,0) N(a,0)
Using distance formula
MN = $\sqrt (a-0)^{2} + (0-0)^{2}$ = $\sqrt a^{2}$ = a units
Similarly, QP = $\sqrt (a-0)^{2} + (b-b)^{2}$ = $\sqrt a^{2}$ = a units
MQ = $\sqrt (0-0)^{2} + (b-0)^{2}$ = $\sqrt b^{2}$ = b units
PN = $\sqrt (a-a)^{2} + (b-0)^{2}$ = $\sqrt b^{2}$ = b units
In quadrilateral MNPQ, opposite sides are equal MN =QP and MQ=PN
therefore MNPQ is a rectangle.
