Answer
square
Work Step by Step
Lets take R(0,0) S(a,0)
Using distance formula
RS = $\sqrt (a-0)^{2} + (0-0)^{2}$ = $\sqrt a^{2}$ = a units
Similarly, ST = $\sqrt (a-a)^{2} + (a-0)^{2}$ = $\sqrt a^{2}$ = a units
TV = $\sqrt (0-a)^{2} + (0-0)^{2}$ = $\sqrt a^{2}$ = a units
VR = $\sqrt (0-0)^{2} + (0-a)^{2}$ = $\sqrt a^{2}$ = a units
In quadrilateral RSTV, all sides are equal RS = ST =TV =VR
therefore RSTV is a square.
