Asked by Timothy Jackson
calculate midpoint m of segment ab
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Answered by
GPT-4o mini
To calculate the midpoint \( M \) of a segment defined by two endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \), you can use the midpoint formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Simply plug in the coordinates of points \( A \) and \( B \):
1. \( x_1 \) and \( y_1 \) are the coordinates for point \( A \).
2. \( x_2 \) and \( y_2 \) are the coordinates for point \( B \).
For example, if point \( A \) is (2, 3) and point \( B \) is (4, 7):
\[
M = \left( \frac{2 + 4}{2}, \frac{3 + 7}{2} \right) = \left( \frac{6}{2}, \frac{10}{2} \right) = (3, 5)
\]
So, the midpoint \( M \) would be (3, 5). If you provide specific coordinates for points \( A \) and \( B \), I can calculate the midpoint for you.
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Simply plug in the coordinates of points \( A \) and \( B \):
1. \( x_1 \) and \( y_1 \) are the coordinates for point \( A \).
2. \( x_2 \) and \( y_2 \) are the coordinates for point \( B \).
For example, if point \( A \) is (2, 3) and point \( B \) is (4, 7):
\[
M = \left( \frac{2 + 4}{2}, \frac{3 + 7}{2} \right) = \left( \frac{6}{2}, \frac{10}{2} \right) = (3, 5)
\]
So, the midpoint \( M \) would be (3, 5). If you provide specific coordinates for points \( A \) and \( B \), I can calculate the midpoint for you.
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