The endpoints of GH are G(10,1) and H(3,5). What is the midpoint of GH?

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To find the midpoint of line segment \(GH\) with endpoints \(G(10,1)\) and \(H(3,5)\), we use the midpoint formula:

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

Here, \(x_1 = 10\), \(y_1 = 1\), \(x_2 = 3\), and \(y_2 = 5\).

Now calculate the midpoint:

\[
\text{Midpoint} = \left( \frac{10 + 3}{2}, \frac{1 + 5}{2} \right) = \left( \frac{13}{2}, \frac{6}{2} \right) = \left( 6.5, 3 \right)
\]

Thus, the midpoint of \(GH\) is \( \boxed{(6.5, 3)} \).

Would you like any further details or have additional questions?

Here are 5 related questions:
1. How do you calculate the distance between two points on a plane?
2. What is the equation of the line passing through points \(G(10,1)\) and \(H(3,5)\)?
3. How do you find the slope of the line segment connecting two points?
4. What is the length of the line segment \(GH\) between \(G(10,1)\) and \(H(3,5)\)?
5. How would you find the equation of a perpendicular bisector of a line segment?

**Tip:** When calculating the midpoint, always remember to take the average of the x-coordinates and y-coordinates separately.

The endpoints of GH are G(10,1) and H(3,5). What is the midpoint of GH?

Learn how to find the midpoint of the line segment GH with endpoints G(10,1) and H(3,5) using the midpoint formula. This problem covers key concepts in coordinate geometry and is suitable for students in Grades 6-8.

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