Question

Find the midpoint of WX in the rectangle WXYZ with vertices W(0, 0), X(h, 0), Y(h, b), and Z(0, b).

Answer 1

To find the midpoint of line segment WX in the rectangle WXYZ, we first identify the coordinates of points W and X.

The coordinates of the points are:
- W(0, 0)
- X(h, 0)

The formula for finding the midpoint \( M \) of a segment with endpoints \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:

\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

Applying this formula to points W and X:

1. Substitute \( W(0, 0) \) as \( (x_1, y_1) \) and \( X(h, 0) \) as \( (x_2, y_2) \):
- \( x_1 = 0 \)
- \( y_1 = 0 \)
- \( x_2 = h \)
- \( y_2 = 0 \)

2. Now, calculate the midpoint:

\[
M = \left( \frac{0 + h}{2}, \frac{0 + 0}{2} \right) = \left( \frac{h}{2}, 0 \right)
\]

Thus, the midpoint of WX is

\[
\boxed{\left( \frac{h}{2}, 0 \right)}
\]