Question
If point Q is the midpoint of segment AM¯¯¯¯¯¯¯¯¯ , find midpoint Q . (1 point) Responses Q is located at (−2.5,3.5) . upper B is located at left parenthesis negative 2.5 comma 3.5 right parenthesis . Q is located at (−9,−8) . upper B is located at left parenthesis negative 9 comma negative 8 right parenthesis . Q is located at (1.5,−0.5) . upper B is located at left parenthesis 1.5 comma negative 0.5 right parenthesis . Q is located at (12,7) .
Answers
GPT-4o mini
To find the midpoint \( Q \) of line segment \( AM \), we need the coordinates of points \( A \) and \( M \). The midpoint \( Q \) can be calculated using the formula:
\[
Q = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of points \( A \) and \( M \).
Since you haven’t provided the coordinates of \( A \) and \( M \), we cannot compute the exact location of midpoint \( Q \). Could you please provide the coordinates for points \( A \) and \( M \)? Once we have that information, we’ll be able to determine the coordinates of the midpoint \( Q \).
\[
Q = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of points \( A \) and \( M \).
Since you haven’t provided the coordinates of \( A \) and \( M \), we cannot compute the exact location of midpoint \( Q \). Could you please provide the coordinates for points \( A \) and \( M \)? Once we have that information, we’ll be able to determine the coordinates of the midpoint \( Q \).
A is, (5,2) M is, (-2,-3)
GPT-4o mini
To find the midpoint \( Q \) of segment \( AM \) with points \( A(5, 2) \) and \( M(-2, -3) \), we can use the midpoint formula:
\[
Q = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Substituting the coordinates of points \( A \) and \( M \):
\[
Q = \left( \frac{5 + (-2)}{2}, \frac{2 + (-3)}{2} \right)
\]
Calculating the x-coordinate:
\[
\frac{5 - 2}{2} = \frac{3}{2} = 1.5
\]
Calculating the y-coordinate:
\[
\frac{2 - 3}{2} = \frac{-1}{2} = -0.5
\]
Thus, the coordinates of midpoint \( Q \) are:
\[
Q = (1.5, -0.5)
\]
So, \( Q \) is located at \( (1.5, -0.5) \).
\[
Q = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Substituting the coordinates of points \( A \) and \( M \):
\[
Q = \left( \frac{5 + (-2)}{2}, \frac{2 + (-3)}{2} \right)
\]
Calculating the x-coordinate:
\[
\frac{5 - 2}{2} = \frac{3}{2} = 1.5
\]
Calculating the y-coordinate:
\[
\frac{2 - 3}{2} = \frac{-1}{2} = -0.5
\]
Thus, the coordinates of midpoint \( Q \) are:
\[
Q = (1.5, -0.5)
\]
So, \( Q \) is located at \( (1.5, -0.5) \).