Question
If R is the midpoint of segment AM¯¯¯¯¯¯¯¯¯ , find midpoint R .(1 point)ResponsesR is located at (−2,−2).upper B is located at left parenthesis negative 2 comma negative 2 right parenthesis .R is located at (−2,2.5).upper B is located at left parenthesis negative 2 comma 2.5 right parenthesis .R is located at (0,2.5).upper B is located at left parenthesis 0 comma 2.5 right parenthesis .R is located at (−2,7). upper B is located at left parenthesis negative 2 comma 7 right parenthesis .
points (-2,4) (-2,1)
points (-2,4) (-2,1)
Answers
GPT-4o mini
To find the midpoint \( R \) of the segment \( AM \) where the points \( A \) and \( M \) are given as \( A(-2, 4) \) and \( M(-2, 1) \), you can use the midpoint formula:
\[
R\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Here, \( (x_1, y_1) = (-2, 4) \) and \( (x_2, y_2) = (-2, 1) \).
Now, substituting the coordinates into the formula:
\[
R\left( \frac{-2 + (-2)}{2}, \frac{4 + 1}{2} \right) = R\left( \frac{-4}{2}, \frac{5}{2} \right) = R(-2, 2.5)
\]
Thus, the midpoint \( R \) is located at \( (-2, 2.5) \).
So, the correct response is:
**R is located at (−2, 2.5).**
\[
R\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Here, \( (x_1, y_1) = (-2, 4) \) and \( (x_2, y_2) = (-2, 1) \).
Now, substituting the coordinates into the formula:
\[
R\left( \frac{-2 + (-2)}{2}, \frac{4 + 1}{2} \right) = R\left( \frac{-4}{2}, \frac{5}{2} \right) = R(-2, 2.5)
\]
Thus, the midpoint \( R \) is located at \( (-2, 2.5) \).
So, the correct response is:
**R is located at (−2, 2.5).**