ANSWER
B. quadrilateral
EXPLANATION
To determine the type of quadrilateral we need to find the slope of each side.
Slope of the line connecting Z(0,3) and W(3,4).
[tex] = \frac{4 - 3}{3 - 0} = \frac{1}{3} [/tex]
Slope of the line connecting X(4,-1) and W(3,4).
[tex] = \frac{4 - - 1}{3 - 4} = - 5[/tex]
Slope of the line connecting X(4,-1) and Y(0,-3).
[tex] = \frac{ - 3 - - 1}{0 - 4} = \frac{1}{2} [/tex]
Slope of the line connecting Z(0,3) and Y(0,-3).
[tex] = \frac{ - 3 - 3}{0 - 0} = \frac{ - 6}{0} [/tex]
The slope of this line is not defined because it is a vertical line.
Since none of the slopes are equal, the quadrilateral can not be a trap-ezoid or a parallelogram or a rectangle.
Therefore the quadrilateral a WXYZ is just a quadrilateral.
The correct answer is B.
