Question

Q is the midpoint of line segment PM. Find midpoint Q.
Point P: (1, 2)
Point M: (1, -2)

Answer 1

To find the midpoint \( Q \) of the line segment \( PM \), we can use the midpoint formula. The formula for the midpoint \( Q(x, y) \) of two points \( P(x_1, y_1) \) and \( M(x_2, y_2) \) is given by:

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

Given:
- Point \( P(1, 2) \)
- Point \( M(1, -2) \)

Now, we can substitute the coordinates of points \( P \) and \( M \) into the formula:

1. Calculate the x-coordinate:
\[
x = \frac{1 + 1}{2} = \frac{2}{2} = 1
\]

2. Calculate the y-coordinate:
\[
y = \frac{2 + (-2)}{2} = \frac{2 - 2}{2} = \frac{0}{2} = 0
\]

Thus, the coordinates of the midpoint \( Q \) are:

\[
Q(1, 0)
\]

The midpoint \( Q \) is \( (1, 0) \).