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Determine whether the figure is convex or not convex.

Is the figure convex or not​ convex?


The given figure appears to be a cone-like shape with one curved side and two straight sides meeting at a point. To determine if it is convex or not, let's use the definition of convexity:

A figure is *convex* if, for any two points inside the figure, the line segment connecting them lies entirely within the figure. Conversely, if there exists at least one pair of points for which the line segment lies outside the figure, then the figure is *not convex*.

### Analysis
- **Observing the shape**: The curved portion creates a bulge, making it impossible to draw a line segment between some internal points without part of the segment lying outside the figure.
- **Conclusion**: The figure is **not convex** because the curved portion causes the line segment connecting certain points within the shape to fall outside of it.

Let me know if you would like more details or have any questions!

### Related Questions
1. What is the difference between convex and concave figures?
2. How can you mathematically prove that a polygon is convex?
3. Can a circle be considered a convex figure?
4. How does the definition of convexity change in three-dimensional shapes?
5. What are some practical applications of convex shapes in real-world problems?

**Tip:** When checking for convexity, remember that a convex figure will always have internal angles less than or equal to 180 degrees.

Analyze whether a cone-like shape with a curved side is convex or not using the concept of convexity. This problem addresses geometric properties related to convex figures, suitable for students in Grades 6-8.

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