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To determine if the segments can form a triangle, we need to apply the **triangle inequality theorem**. The theorem states that for three sides to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

We are given the lengths of three segments:
- 7 units
- 7 units
- 1 unit

Using the triangle inequality theorem:
1. \( 7 + 7 > 1 \) — True
2. \( 7 + 1 > 7 \) — False (as 8 is equal to, not greater than, 7)

Since the second condition fails, **these segments cannot form a triangle**. 

Thus, the answer is **B. False**.

Would you like more details or have any questions?

Here are five related questions to think about:
1. What are the conditions of the triangle inequality theorem?
2. How would the shape change if one of the sides was slightly longer than 7 units?
3. Can a triangle ever have one side equal to the sum of the other two sides?
4. How do you classify triangles based on their sides?
5. How does the triangle inequality theorem apply to different types of triangles?

**Tip**: Always apply the triangle inequality theorem when checking if three sides can form a triangle.

The segments shown below could form a triangle. True or False?

Find out if the segments of lengths 7, 7, and 1 can form a triangle using the triangle inequality theorem. This problem applies fundamental geometric concepts and is suitable for students in Grades 6-8.

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