Maths Quadrilaterals part 3 (Convex vs concave Polygon) CBSE Class 8 Mathematics VIII

TL;DR

This video explains the difference between convex and concave polygons based on their interior angles.

Transcript

hello friends this video on quadrilaterals part 3 is brought to you by exam feel calm no more fear from exam letters now again look at another category or another type of polygon based on their shapes they are convex and concave polygons so let's first understand what are convex polygons now convex polygons are those whose interior angles are less ... Read More

Key Insights

• 🔺 Convex polygons have all interior angles less than 180 degrees, while concave polygons have at least one angle greater than 180 degrees.
• ❎ Examples of convex polygons include triangles and squares.
• 💁 Concave polygons have a cave-like structure formed by angles greater than 180 degrees.
• 🅰️ Understanding the difference between convex and concave polygons helps classify and identify different types of polygons.
• 💠 Convex polygons have a more regular shape compared to concave polygons.
• 💠 Concave polygons can have multiple cave-like structures within their shape.
• 🔺 The concept of interior angles is crucial in determining the convexity or concavity of a polygon.

Questions & Answers

Q: What is the main difference between convex and concave polygons?

Convex polygons have all interior angles that are less than 180 degrees, while concave polygons have at least one interior angle greater than 180 degrees.

Q: Can you give an example of a convex polygon?

Yes, a triangle is an example of a convex polygon. All of its interior angles are less than 180 degrees.

Q: How can we identify concave polygons?

Concave polygons have a cave-like structure. They have at least one interior angle that is greater than 180 degrees.

Q: Are all angles in a square less than 180 degrees?

Yes, all angles in a square are 90 degrees, which is less than 180 degrees. Therefore, a square is a convex polygon.

Summary & Key Takeaways

• Convex polygons have all interior angles that are less than 180 degrees, while concave polygons have at least one interior angle greater than 180 degrees.

• Examples of convex polygons include triangles and squares, where all angles are less than 180 degrees.

• Concave polygons have a cave-like structure, formed by angles that are greater than 180 degrees.