Question

Note that TUVW has vertices T (4, 2), U(1, -7), V(-3, -5), and W(-1, 3).

Complete the following to determine if TUVW is a parallelogram.
Find the midpoint of WU.

Answer 1

The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula:

M = ((x1 + x2)/2, (y1 + y2)/2)

To find the midpoint of WU, we use the coordinates of points W and U:

W = (-1, 3) and U = (1, -7)

Using the midpoint formula, we have:

M = ((-1 + 1)/2, (3 - 7)/2)

M = (0, -2)

Therefore, the midpoint of WU is (0, -2).