Class 7 Exam > Class 7 Videos > Advance Learner Course: Mathematics (Maths) Class 7 > Understanding Convex and Concave Polygons
Understanding Convex and Concave Polygons Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7
FAQs on Understanding Convex and Concave Polygons Video Lecture - Advance Learner Course: Mathematics (Maths) Class 7
| 1. What is the difference between convex and concave polygons? |  |
Ans. A convex polygon is a polygon in which all interior angles are less than 180 degrees, and any line segment connecting two points inside the polygon lies entirely within the polygon. On the other hand, a concave polygon is a polygon with at least one interior angle greater than 180 degrees, and there is at least one line segment connecting two points inside the polygon that lies partially outside the polygon.
| 2. How can I determine if a polygon is convex or concave? | |
Ans. To determine if a polygon is convex or concave, you can look at its interior angles. If all interior angles are less than 180 degrees, the polygon is convex. However, if there is at least one interior angle greater than 180 degrees, the polygon is concave.
| 3. Are all regular polygons convex? | |
Ans. Yes, all regular polygons are convex. A regular polygon is a polygon with equal side lengths and equal interior angles. Since regular polygons have all interior angles less than 180 degrees, they are always convex.
| 4. Can a polygon be both convex and concave? | |
Ans. No, a polygon cannot be both convex and concave at the same time. A polygon is either convex or concave based on its interior angles. If all interior angles are less than 180 degrees, it is convex. If there is at least one interior angle greater than 180 degrees, it is concave.
| 5. What are some real-life examples of convex and concave polygons? | |
Ans. Some real-life examples of convex polygons include a stop sign, a square, a triangle, and a regular hexagon. These polygons have all interior angles less than 180 degrees. On the other hand, examples of concave polygons include a crescent moon, a star, and a letter 'C'. These polygons have at least one interior angle greater than 180 degrees.
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