1. **State the problem:** Determine if the hexagon JNLKOM constructed by Veronica is a regular hexagon inscribed in circle C.
2. **Recall definitions and properties:**
- A regular hexagon inscribed in a circle has all sides equal and all vertices lie on the circle.
- The diameter JK is a straight line through the center of circle C.
- The chord LM is the perpendicular bisector of JK, so it passes through the center and is perpendicular to JK.
- Radii CN and CO bisect vertical angles JCL and KCM, meaning points N and O lie on the circle and are positioned symmetrically.
3. **Analyze the construction:**
- Since JK is a diameter, the center C is midpoint of JK.
- LM is perpendicular bisector of JK, so L and M lie on the circle and are symmetric about C.
- Radii CN and CO bisect vertical angles at C, so points N and O lie on the circle and are positioned to create equal arcs.
4. **Conclusion:**
- The points J, N, L, K, O, M all lie on circle C.
- The construction ensures equal arcs between these points, forming equal sides.
- Therefore, hexagon JNLKOM is a regular hexagon inscribed in circle C.
**Final answer:** A. Veronica is correct: JNLKOM is a regular hexagon inscribed in circle C.
Regular Hexagon 761223
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