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Q is the midpoint of line segment PM

. Find midpoint Q.
(1 point)
• Q is located at (0.5, 0).
• Q is located at (1, 0).
• Q is located at (1, - 6).
• Q is located at (1, 6).

3 answers

To find the midpoint Q of a line segment PM, we need the coordinates of points P and M. The midpoint formula is given by:

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

where \((x_1, y_1)\) are the coordinates of point P and \((x_2, y_2)\) are the coordinates of point M.

Since the coordinates of points P and M are not provided in your question, I cannot directly calculate the midpoint. However, based on the options you've given:

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

If you have specific coordinates for points P and M, please provide them so I can calculate the midpoint Q. Otherwise, based on the choices and without further context, it is impossible to determine which option is correct.

P (2,1) M (-2,1)

To find the midpoint \( Q \) of the line segment \( PM \) with points \( P(2, 1) \) and \( M(-2, 1) \), we can use the midpoint formula:

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

Substituting in the coordinates of points \( P \) and \( M \):

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

Calculating each part:

  1. For the x-coordinate: \[ \frac{2 + (-2)}{2} = \frac{0}{2} = 0 \]

  2. For the y-coordinate: \[ \frac{1 + 1}{2} = \frac{2}{2} = 1 \]

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

\[ Q = (0, 1) \]

None of the choices provided in your earlier message match this result. Please check if the options listed are correct or if there are any additional details.