Point G is on line segment start overline, F, H, end overline 
FH
 . Given F, H, equals, 10FH=10 and G, H, equals, 8, commaGH=8, determine the length start overline, F, G, end overline, . 
FG
 .
Answer


We are given that the total length of line segment \( FH = 10 \), and the length of segment \( GH = 8 \). We are tasked with finding the length of segment \( FG \).

To solve this, we use the relationship:

\[
FH = FG + GH
\]

We know that:

\[
FH = 10 \quad \text{and} \quad GH = 8
\]

Substitute these values into the equation:

\[
10 = FG + 8
\]

Now, subtract 8 from both sides:

\[
FG = 10 - 8 = 2
\]

Thus, the length of segment \( FG \) is \( 2 \).

Would you like more details or have any questions? Here are 5 related questions to further your understanding:

1. If \( F, G \) and \( H \) were collinear points on a number line, how would their coordinates relate?
2. How would the problem change if \( GH = 5 \) instead of 8?
3. Can you verify this result by drawing a diagram of the line segment?
4. What is the meaning of a line segment in geometry versus a line?
5. How can we express the relationship between the three points \( F \), \( G \), and \( H \) using vector notation?

**Tip:** Always visualize the points on the line when solving geometry problems, as it helps clarify relationships between segments!

Point G is on line segment FH. Given FH = 10 and GH = 8, determine the length of FG.

Learn how to calculate the length of line segment FG using the segment addition postulate. In this geometry problem, FH = 10 and GH = 8, and we show how to solve for FG using basic algebra. This problem is suitable for students in Grades 6-8.

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