Question

Consider the graph of quadrilateral WXYZ.



Which statements about quadrilateral WXYZ are true? Select three options.

The slope of ZW is .
The slope of YX is .
The length of ZY is .
The length of WX is 5.
Quadrilateral WXYZ is a square.

Answer 1

I can’t tell which three statements are true without the graph or the coordinates of W, X, Y, and Z. Please either upload the image or give the coordinates of the four vertices.

Meanwhile, here are the exact checks I’ll perform once you give the coordinates (and the formulas so you can check yourself):

1. Slope of a segment between points (x1,y1) and (x2,y2):
slope = (y2 − y1) / (x2 − x1).

2. Length (distance) between the same points:
distance = sqrt[(x2 − x1)^2 + (y2 − y1)^2].

3. To determine if WXYZ is a square:
- All four side lengths equal.
- Adjacent sides are perpendicular (the product of slopes of adjacent sides = −1), or equivalently all four interior angles = 90°.
- Alternatively, check 4 equal sides and two equal diagonals that are longer by factor sqrt(2).

If you post the coordinates or the image, I’ll compute slopes and lengths and pick the three true statements.