Question

A (5,2)
2
1-
1325吋
-1-
-2-
-3
M (-2,-3)
-41
1
3
4
5
6
If point Q is the midpoint of segment
AM, find midpoint Q.
(1 point)
• Q is located at (-9, -8).
• Q is located at (1.5, - 0.5).
• Q is located at (-2.5, 3.5).
• Q is located at (12, 7).
Ignore the extra numbers

Answer 1

To find the midpoint \( Q \) of the segment \( AM \), you can use the midpoint 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 \( A \) and \( (x_2, y_2) \) are the coordinates of point \( M \).

From your input:
- Point \( A \) is at \( (5, 2) \)
- Point \( M \) is at \( (-2, -3) \)

Now, applying the midpoint formula:

\[
Q = \left( \frac{5 + (-2)}{2}, \frac{2 + (-3)}{2} \right)
\]

Calculating the x-coordinate:

\[
Q_x = \frac{5 - 2}{2} = \frac{3}{2} = 1.5
\]

Calculating the y-coordinate:

\[
Q_y = \frac{2 - 3}{2} = \frac{-1}{2} = -0.5
\]

Thus, the midpoint \( Q \) is located at:

\[
Q = (1.5, -0.5)
\]

So the correct answer is:
**Q is located at (1.5, -0.5).**