https://file.aiquickdraw.com/mathbot/file/1727105406280jv3yhm3p.jpg

The image shows a diagram with points \( M \), \( N \), and \( O \) on a straight line. The length of \( MN \) is given as 4.6 cm, and since \( N \) is marked as the midpoint of line segment \( MO \), we know that the distance from \( N \) to \( O \) must also be equal to the distance from \( M \) to \( N \).

To find the measure of \( MO \), we simply add the two equal segments \( MN \) and \( NO \):

\[
MO = MN + NO = 4.6 \, \text{cm} + 4.6 \, \text{cm} = 9.2 \, \text{cm}
\]

Thus, the measure of \( MO \) is 9.2 cm.

Do you need further details or have any questions?

---

Here are 5 related questions to expand this concept:
1. What is the formula for calculating the midpoint of a segment in a coordinate plane?
2. If the length of \( MN \) were different from \( NO \), how would you calculate the total length of \( MO \)?
3. Can a point dividing a segment into two unequal parts be called a midpoint? Why or why not?
4. How do we calculate the length of a diagonal in a square if we know the side length?
5. What is the distance formula in three-dimensional space?

**Tip:** When solving geometry problems with midpoints, always check for symmetry, as it often simplifies calculations.

Solve the problem of finding the measure of line segment MO using the midpoint concept. Learn how MN equals 4.6 cm and how the midpoint divides the segment into two equal parts, making MO equal to 9.2 cm. Suitable for middle school students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation