Question

If R is the midpoint of segment AM¯¯¯¯¯¯¯¯¯ , find midpoint R . (1 point) Responses R 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 (−2,7). upper B is located at left parenthesis negative 2 comma 7 right parenthesis . R is located at (0,2.5).

Answer 1

To find the midpoint \( R \) of segment \( AM \), we would typically need the coordinates of points \( A \) and \( M \). The formula for the midpoint \( R \) between two points \( A(x_1, y_1) \) and \( M(x_2, y_2) \) is given by:

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

Since you haven't provided specific coordinates for points \( A \) and \( M \), I'll work through the possible responses you gave:

1. R is located at \( (-2, -2) \)
2. R is located at \( (-2, 2.5) \)
3. R is located at \( (-2, 7) \)
4. R is located at \( (0, 2.5) \)

Without knowing the coordinates of \( A \) and \( M \), we can't calculate \( R \) directly. If you can provide those coordinates, we can determine the midpoint \( R \). Otherwise, we are unable to definitively choose which response is correct.

Answer 2

A is (-2,4) M is (-2,1)

Answer 3

Given the coordinates of points \( A \) and \( M \):

- \( A(-2, 4) \)
- \( M(-2, 1) \)

We can use the midpoint formula to find \( R \):

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

Substituting the coordinates of \( A \) and \( M \):

\[
R\left(\frac{-2 + (-2)}{2}, \frac{4 + 1}{2}\right) = R\left(\frac{-4}{2}, \frac{5}{2}\right) = R(-2, 2.5)
\]

Therefore, the midpoint \( R \) is located at \( (-2, 2.5) \).

So the correct response is: **R is located at \( (-2, 2.5) \)**.