Q is the midpoint of line segment PM¯¯¯¯¯¯¯¯¯ . Find midpoint Q . (1 point)

Q is located at (0.5,0) . upper Q is located at left parenthesis 0.5 comma 0 right parenthesis . Q is located at (1,−6) . upper Q is located at left parenthesis 1 comma negative 6 right parenthesis . Q is located at (1,0) . upper Q is located at left parenthesis 1 comma 0 right parenthesis . Q is located at (1,6) . upper Q is located at left parenthesis 1 comma 6 right parenthesis .

3 answers

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

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

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

Since no specific coordinates for points P and M are provided in your message, I cannot calculate the exact location of Q. However, if you can provide the coordinates of both points P and M, I can help you find the midpoint Q.

Based on the given options:

  1. \( (0.5, 0) \)
  2. \( (1, -6) \)
  3. \( (1, 0) \)
  4. \( (1, 6) \)

Without additional information, I cannot determine the correct answer. Could you please provide the coordinates of points P and M?

the coordinates for point P is (1,2) and the coordinates for point M is (1,-2)

Given the coordinates of points P and M:

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

We can find the midpoint Q using the midpoint formula:

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

Substituting the coordinates of P and M:

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

Calculating each component:

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

  2. For the y-coordinate: \[ \frac{2 - 2}{2} = \frac{0}{2} = 0 \]

Therefore, the coordinates for the midpoint Q are:

\[ Q = (1, 0) \]

So the correct answer is \( Q \) located at \( (1, 0) \).