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The question asks for a conjecture based on the fact that **M** is the midpoint of line segment **BC**. 

If **M** is the midpoint of **BC**, this means that the segments **BM** and **MC** are equal. The correct conjecture would be:

- **BM = MC**

This is the defining property of a midpoint: it divides the segment into two equal parts.

Let me know if you have any questions or need further clarification!

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Here are 5 related questions to think about:

1. What is the definition of a bisector in geometry?
2. Can a midpoint also be an angle bisector in some cases? If so, how?
3. How can we prove that a point is the midpoint of a line segment?
4. What other properties do midpoints have in geometric shapes, like triangles?
5. How does knowing the midpoint help in solving coordinate geometry problems?

**Tip**: When solving geometric problems, always label known points and relationships (like midpoints) to visualize how they affect the rest of the figure.

Make a conjecture given that M is the midpoint of BC.

Understand how to make a conjecture based on M being the midpoint of line segment BC. This geometry problem covers midpoints and their properties, including the key fact that the midpoint divides a line segment into two equal parts. Suitable for Grades 6-8.

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