Question

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

Q is located at (1,0)
Q is located at (0.5, 0)
Q is located at (1,6)
Q is located at (1,-6)

Answer 1

To find the midpoint \( Q \) of the line segment \( PM \), you can use the midpoint formula, which is:

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

Where \( P(x_1, y_1) \) and \( M(x_2, y_2) \).

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

Now plug the coordinates into the formula:

\[
Q = \left( \frac{1 + 1}{2}, \frac{2 + (-2)}{2} \right)
\]
\[
Q = \left( \frac{2}{2}, \frac{0}{2} \right)
\]
\[
Q = (1, 0)
\]

Thus, the coordinates of the midpoint \( Q \) are \( (1, 0) \). Therefore, the correct answer is:

Q is located at (1, 0)