Question

W(−1,4),X(4,0),Y(−5,1), and Z(0,−3) are vertices of quadrilateral WXZY. What is true of WX and YZ ?

A) WX and YZ are parallel.
B) WX and YZ are skewed.
C) WX and YZ are perpendicular.
D) There is not enough information to make a valid conclusion.

Answer 1

The sides WX and YZ are parallel.

Step-by-step explanation:

The coordinates provided represent the vertices of a quadrilateral. To determine the relationship between the sides WX and YZ, we can find the slopes of the two sides and compare them.

The formula for finding the slope of a line passing through two points (x1, y1) and (x2, y2) is: m = (y2 - y1) / (x2 - x1)

Using this formula, the slope of WX is: m1 = (0 - 4) / (4 - (-1)) = -4/5

The slope of YZ is: m2 = (1 - (-3)) / (-5 - 0) = 4/5

Since the slopes of WX and YZ are equal, we can infer that the two lines are parallel.