Question
If point Q is the midpoint of segment AM¯¯¯¯¯¯¯¯¯ , find midpoint Q .(1 point)ResponsesQ is located at (−9,−8).upper B is located at left parenthesis negative 9 comma negative 8 right parenthesis .Q is located at (12,7). upper B is located at left parenthesis 12 comma 7 right parenthesis . 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 (1.5,−0.5).
points (5,2) (-2,-3)
points (5,2) (-2,-3)
Answers
GPT-4o mini
To find the midpoint \( Q \) of segment \( \overline{AM} \), we first need the coordinates of points \( A \) and \( M \).
Assuming \( A \) has coordinates \( (5, 2) \) and \( M \) has coordinates \( (-2, -3) \):
The formula for finding the midpoint \( Q(x, y) \) of two points \( A(x_1, y_1) \) and \( M(x_2, y_2) \) is given by:
\[
Q\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)
\]
Plugging in the coordinates:
\[
Q\left(\frac{5 + (-2)}{2}, \frac{2 + (-3)}{2}\right)
\]
\[
Q\left(\frac{5 - 2}{2}, \frac{2 - 3}{2}\right)
\]
\[
Q\left(\frac{3}{2}, \frac{-1}{2}\right)
\]
\[
Q\left(1.5, -0.5\right)
\]
So, the midpoint \( Q \) is located at \( (1.5, -0.5) \). Hence, the correct response is:
**Q is located at (1.5,−0.5).**
Assuming \( A \) has coordinates \( (5, 2) \) and \( M \) has coordinates \( (-2, -3) \):
The formula for finding the midpoint \( Q(x, y) \) of two points \( A(x_1, y_1) \) and \( M(x_2, y_2) \) is given by:
\[
Q\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)
\]
Plugging in the coordinates:
\[
Q\left(\frac{5 + (-2)}{2}, \frac{2 + (-3)}{2}\right)
\]
\[
Q\left(\frac{5 - 2}{2}, \frac{2 - 3}{2}\right)
\]
\[
Q\left(\frac{3}{2}, \frac{-1}{2}\right)
\]
\[
Q\left(1.5, -0.5\right)
\]
So, the midpoint \( Q \) is located at \( (1.5, -0.5) \). Hence, the correct response is:
**Q is located at (1.5,−0.5).**