Bartlett Romero
11/18/2023 · Senior High School
There are two ways you can easily identify concave polygons: they have at least one internal angle that is bigger than \( 180^{\circ} \). They also have at least one diagonal that lies outside the polygon. In convex polygons, on the other hand, all internal angles are less than 180 and all diagonals lie
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inside the polygon.
To summarize:
- **Concave Polygons**:
- At least one internal angle is greater than \( 180^\circ \).
- At least one diagonal lies outside the polygon.
- **Convex Polygons**:
- All internal angles are less than \( 180^\circ \).
- All diagonals lie inside the polygon.
These properties help in distinguishing between concave and convex polygons effectively.
Quick Answer
- **Concave Polygons**:
- One angle over \( 180^\circ \).
- Diagonals outside.
- **Convex Polygons**:
- All angles under \( 180^\circ \).
- Diagonals inside.
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