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.

Answer 1

Using the distance formula, we can find the length of each side of the trapezoid:

TU: √[(1 - (-4))^2 + (-1 - (-1))^2] = 5

UV: √[(-1 - 1)^2 + (4 - (-1))^2] = √36 = 6

VW: √[(-6 - (-1))^2 + (-4 - 4)^2] = √61

TW: √[(-6 - (-4))^2 + (-4 - (-1))^2] = √17

To find the length of the diagonal WU, we can use the Pythagorean theorem:

WU: √(TW^2 + TU^2) = √(17^2 + 5^2) = √274

Therefore, the length of diagonal WU in trapezoid TUVW is √274.