https://file.aiquickdraw.com/mathbot/file/1727751687887pmlknwka.jpg

https://file.aiquickdraw.com/mathbot/file/172775168789471lorce7.jpg

Based on the diagram in the second image and the multiple-choice options in the first image, we can analyze each statement:

1. **TV is a segment bisector**: This is not clearly indicated from the diagram since the line \(\overline{TV}\) does not appear to bisect any segment into two equal parts. Therefore, this statement is likely **false**.

2. **TV is a perpendicular bisector**: There is no indication in the diagram that \(\overline{TV}\) is perpendicular to any other segment or that it bisects anything at a right angle. Hence, this statement is also **false**.

3. **T is the vertex of a pair of congruent angles in the diagram**: At point \(T\), there are two angles marked with the same arc symbol, indicating they are congruent. Therefore, this statement is **true**.

4. **T is the vertex of a right angle**: There is no right angle marked at point \(T\) in the diagram, so this statement is **false**.

5. **V is the vertex of a right angle**: There is no right angle marked at point \(V\) either, so this statement is also **false**.

6. **None of the above**: Since the third statement is true, this option is **false**.

### Conclusion:
- The correct answer is that **T is the vertex of a pair of congruent angles in the diagram**.

Would you like any more details or explanations about this solution? 

Here are five related questions to think about:
1. What is the definition of a perpendicular bisector in geometry?
2. How can you identify congruent angles in a diagram?
3. What would indicate a right angle at a vertex?
4. How do segment bisectors typically appear in geometric figures?
5. What are the properties of diagonal lines in quadrilaterals?

**Tip**: In geometry, congruent angles are often marked by identical arc symbols to indicate equality.

Which of the following statements must be true based on the diagram below? Select all that apply.

Learn how to identify congruent angles and bisectors in geometric figures. This problem involves understanding perpendicular bisectors, segment bisectors, and congruent angles, and it provides a detailed step-by-step solution. Suitable for students in Grades 8-10.

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