Polygons and Types of Quadrilaterals
Learn the properties of polygons and quadrilaterals and how to use the interior angles formula. Let’s get started! 🚀
Video Lesson
Watch and learn the basics
Flashcards
Review key concepts visually
%20Polygons%20vs%20non-polygons.webp)
%20Regular%20Polygons.webp)
%20Interior%20Angles%20of%20Polygons.webp)
%20Special%20Quadrilaterals.webp)
🛎️ What is a Polygon?
- A polygon is a 2D closed shape made from straight line segments.
- Tip: shapes that are open, curved, or 3D are not polygons.
🛎️ Names of Polygons
- Polygons are named by their number of sides.
- For example: triangle (3), quadrilateral (4), pentagon (5), hexagon (6).
🛎️ Interior Angles of Polygons
- The sum of interior angles depends on the number of sides.
- The formula is (n − 2) × 180°, where n is the number of sides.
🛎️ What is a Quadrilateral?
- A quadrilateral is a polygon with four sides.
- Parallelograms, rectangles, rhombuses, squares, and trapeziums are all quadrilaterals.
Practice Questions
Test your understanding
What is a polygon with four sides called?
Correct! 🎉 +10 pointsNot quite right
A polygon with four sides is called a quadrilateral. Examples include squares, rectangles, and trapeziums.
True or False: A circle is a polygon.
Correct! 🎉 +10 pointsNot quite right
A polygon is a closed shape made up of straight lines. Since a circle has no straight sides, it is not a polygon.
Which quadrilateral has all sides of equal length but no right angles?
Correct! 🎉 +20 pointsNot quite right
A rhombus is a quadrilateral with all sides of equal length, but it does not have right angles.
What do you call a quadrilateral with opposite sides parallel and all angles at right angles?
Correct! 🎉 +20 pointsNot quite right
A rectangle is a quadrilateral with opposite sides parallel and all angles equal to 90 degrees.
What is the sum of the interior angles of a pentagon (5-sided polygon)?
Correct! 🎉 +20 pointsNot quite right
Using the formula °, where is the number of sides. For a pentagon, °.
If a polygon has an interior angle sum of 900 degrees, how many sides does it have?
Correct! 🎉 +30 pointsNot quite right
To find the number of sides, use the formula . Solving for , we get .
Want to see the full working?
Interactive Activity
Explore how the number of sides affects a polygon's shape and interior angles
Loading interactive widget...
Click here to open ChatCat