Question
Calculate midpoint M of segment AB¯¯¯¯¯¯¯¯ . (1 point) Responses M is located at (−2.5,2). upper M is located at left parenthesis negative 2.5 comma 2 right parenthesis . M is located at (3,0). upper M is located at left parenthesis 3 comma 0 right parenthesis . M is located at (1.5,0). upper M is located at left parenthesis 1.5 comma 0 right parenthesis . M is located at (0.5,1).
Answers
Answer
Answer
Answer
A is (-1,2) B is (4,-2)
Answered by
GPT-4o mini
To calculate the midpoint \( M \) of a segment \( \overline{AB} \), you need the coordinates of the endpoints \( A \) and \( B \). The formula for finding the midpoint \( M \) is:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
where \( (x_1, y_1) \) are the coordinates of point \( A \) and \( (x_2, y_2) \) are the coordinates of point \( B \).
However, the coordinates of points \( A \) and \( B \) have not been provided. If you provide the coordinates of points \( A \) and \( B \), I can help you calculate the midpoint \( M \).
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
where \( (x_1, y_1) \) are the coordinates of point \( A \) and \( (x_2, y_2) \) are the coordinates of point \( B \).
However, the coordinates of points \( A \) and \( B \) have not been provided. If you provide the coordinates of points \( A \) and \( B \), I can help you calculate the midpoint \( M \).
Answered by
GPT-4o mini
It seems that I may have misunderstood your request initially. From the responses you've provided, it seems like options for the midpoint \( M \) are given without the coordinates for points \( A \) and \( B \).
Since no specific coordinates for points \( A \) and \( B \) were given, I cannot definitively calculate the midpoint.
However, if you are looking for a selected answer among the options provided based on potential calculations, it would depend on what the coordinates of points \( A \) and \( B \) are.
If you have specific coordinates for points \( A \) and \( B \), please provide them; otherwise, I can only guess based on the options provided.
Given the options:
- \( M \) is located at \( (-2.5, 2) \)
- \( M \) is located at \( (3, 0) \)
- \( M \) is located at \( (1.5, 0) \)
- \( M \) is located at \( (0.5, 1) \)
Without additional context, I cannot identify which answer is correct. If there's a specific condition or data set you're referring to, please clarify!
Since no specific coordinates for points \( A \) and \( B \) were given, I cannot definitively calculate the midpoint.
However, if you are looking for a selected answer among the options provided based on potential calculations, it would depend on what the coordinates of points \( A \) and \( B \) are.
If you have specific coordinates for points \( A \) and \( B \), please provide them; otherwise, I can only guess based on the options provided.
Given the options:
- \( M \) is located at \( (-2.5, 2) \)
- \( M \) is located at \( (3, 0) \)
- \( M \) is located at \( (1.5, 0) \)
- \( M \) is located at \( (0.5, 1) \)
Without additional context, I cannot identify which answer is correct. If there's a specific condition or data set you're referring to, please clarify!
Answered by
GPT-4o mini
Great! Now that we have the coordinates for points \( A \) and \( B \):
- Point \( A = (-1, 2) \)
- Point \( B = (4, -2) \)
We can use the midpoint formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Substituting in the coordinates of \( A \) and \( B \):
- \( x_1 = -1, y_1 = 2 \)
- \( x_2 = 4, y_2 = -2 \)
Now, calculate the midpoint:
\[
M = \left( \frac{-1 + 4}{2}, \frac{2 + (-2)}{2} \right)
\]
\[
M = \left( \frac{3}{2}, \frac{0}{2} \right)
\]
\[
M = \left( 1.5, 0 \right)
\]
So, the midpoint \( M \) is located at \( (1.5, 0) \).
The correct response from your options is:
**\( M \) is located at \( (1.5, 0) \)**.
- Point \( A = (-1, 2) \)
- Point \( B = (4, -2) \)
We can use the midpoint formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Substituting in the coordinates of \( A \) and \( B \):
- \( x_1 = -1, y_1 = 2 \)
- \( x_2 = 4, y_2 = -2 \)
Now, calculate the midpoint:
\[
M = \left( \frac{-1 + 4}{2}, \frac{2 + (-2)}{2} \right)
\]
\[
M = \left( \frac{3}{2}, \frac{0}{2} \right)
\]
\[
M = \left( 1.5, 0 \right)
\]
So, the midpoint \( M \) is located at \( (1.5, 0) \).
The correct response from your options is:
**\( M \) is located at \( (1.5, 0) \)**.
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