Question

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 don't have the coordinates or the diagram for W, X, Y, Z, so I can't pick the three true statements yet. Could you either:

- Paste the coordinates for W, X, Y, Z, or
- Upload or describe the diagram (coordinates or grid positions)?

How I'll check each statement once you give the coordinates:

- Slope of ZW = (yZ − yW) / (xZ − xW).
- Slope of YX = (yY − yX) / (xY − xX).
- Length ZY = sqrt[(xZ − xY)^2 + (yZ − yY)^2].
- Length WX likewise = sqrt[(xW − xX)^2 + (yW − yX)^2].
- To test "WXYZ is a square": check that all four sides are equal in length and adjacent sides are perpendicular (product of slopes = −1), or check equal side lengths and that diagonals are equal and perpendicular as appropriate.

Send the coordinates or the image and I’ll compute the slopes/lengths and mark which three statements are true.