122k views
2 votes
The question is determine the most precise name for quadrilateral WXYZ

The question is determine the most precise name for quadrilateral WXYZ-example-1

2 Answers

4 votes

Hello,

Opposed sides are not parallele ==> not a parallelogram=> not a rectangle,,nor a trapezoid.

It is just a quadrilateral. Answer B

User StefanKarpinski
by
5.0k points
4 votes
ANSWER

B. quadrilateral

Step-by-step 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).


= (4 - 3)/(3 - 0) = (1)/(3)

Slope of the line connecting X(4,-1) and W(3,4).


= (4 - - 1)/(3 - 4) = - 5

Slope of the line connecting X(4,-1) and Y(0,-3).


= ( - 3 - - 1)/(0 - 4) = (1)/(2)

Slope of the line connecting Z(0,3) and Y(0,-3).


= ( - 3 - 3)/(0 - 0) = ( - 6)/(0)
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.
User Angelic
by
5.0k points