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To find the coordinates of point \( M \), which is the midpoint of line segment \( GH \), we can use the midpoint formula:

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

Given the coordinates of points \( G \) and \( H \):
- \( G = (0, 10) \)
- \( H = (8, 10) \)

We can substitute these values into the formula:

\[
M = \left( \frac{0 + 8}{2}, \frac{10 + 10}{2} \right)
\]

\[
M = \left( \frac{8}{2}, \frac{20}{2} \right)
\]

\[
M = (4, 10)
\]

Thus, the coordinates of point \( M \) are \( (4, 10) \).

Would you like further details or have any questions?

Here are 5 related questions to expand on this topic:
1. How would you find the midpoint if the coordinates of \( G \) and \( H \) were not integers?
2. Can the midpoint formula be used in three dimensions? If so, how?
3. What happens if \( G \) and \( H \) have the same \( x \)-coordinates but different \( y \)-coordinates?
4. How can you verify that a point is truly the midpoint of a line segment?
5. How do you determine the distance between two points, such as \( G \) and \( H \)?

**Tip:** The midpoint formula is a simple application of averaging; you're essentially finding the average \( x \)-coordinate and average \( y \)-coordinate between two points.

Point M is the midpoint of line GH, shown below. What are the coordinates of point M? G(0, 10) and H(8, 10).

Calculate the midpoint of line GH with points G(0, 10) and H(8, 10). Learn how to apply the midpoint formula in this geometry problem, suitable for Grades 6-8 students.

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