Trapezoid ABCD is formed by T(–4,-1), U(–1,-1), V(-1,-4), and W(-6,-4).
Determine the length of the diagonal WU in trapezoid TUVW. Round to the nearest tenth and show all of your work.
First, we need to plot the points T(-4,-1), U(-1,-1), V(-1,-4), and W(-6,-4) on a coordinate plane.
Next, we can use the distance formula to find the length of the diagonal WU.
Distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)
We want to find the distance between points U and W, so:
d(WU) = √((-6 - (-1))^2 + (-4 - (-1))^2)
d(WU) = √((-5)^2 + (-3)^2)
d(WU) = √(25 + 9)
d(WU) = √34
d(WU) ≈ 5.8 units
Therefore, the length of the diagonal WU in trapezoid TUVW is approximately 5.8 units.