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.
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.
To determine the length of the diagonal WU in trapezoid TUVW, we need to find the distance between points W and U.
First, let's plot the points on a graph to visualize the trapezoid.
Point T is located at (-4, -1).
Point U is located at (1, -1).
Point V is located at (-1, 4).
Point W is located at (-6, -4).
Now, we can use the distance formula to find the length of the diagonal WU. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the coordinates of points W and U into the formula:
d = sqrt((1 - (-6))^2 + (-1 -(-4))^2)
= sqrt((1 + 6)^2 + (-1 + 4)^2)
= sqrt(7^2 + 3^2)
= sqrt(49 + 9)
= sqrt(58)
Therefore, the length of the diagonal WU in trapezoid TUVW is sqrt(58).
To determine the length of diagonal WU in trapezoid TUVW, we need to measure the distance between points W and U.
Step 1: Write down the coordinates of points W and U.
W: (-6, -4)
U: (1, -1)
Step 2: Use the distance formula to calculate the distance between points W and U, which is the length of diagonal WU.
The distance formula is: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of W and U into the distance formula:
d = sqrt((1 - (-6))^2 + (-1 -(-4))^2)
= sqrt((1 + 6)^2 + (-1 + 4)^2)
= sqrt(7^2 + 3^2)
= sqrt(49 + 9)
= sqrt(58)
Step 3: Simplify the square root if necessary.
The square root of 58 cannot be simplified further, so the length of diagonal WU is √58.
Therefore, the length of diagonal WU in trapezoid TUVW is approximately √58 units.