Understanding Quadrilaterals | Learn with BYJU'S
BYJU'S・10 minutes read
Joining 3 points results in a line, and 3 collinear points form a triangle, with a sum of angles of 180°. In a polygon, the sum of interior angles can be found by multiplying the number of sides minus 2 by 180°.
Insights
- Dividing a quadrilateral into two triangles helps prove the sum of angles within it is always 360°.
- The number of sides in a polygon can be calculated by dividing 360° by each exterior angle, providing a method to determine its shape based on exterior angles.
Get key ideas from YouTube videos. It’s free
Recent questions
What shapes can be formed by joining points?
Lines, triangles, and quadrilaterals.
How is the sum of angles in a quadrilateral calculated?
By dividing the quadrilateral into two triangles.
What is the sum of exterior angles in a polygon?
Always 360°.
How can the number of sides in a polygon be determined?
By dividing 360° by each exterior angle.
How is the sum of interior angles in a polygon found?
By multiplying the number of sides minus 2 by 180°.
Related videos
The Organic Chemistry Tutor
Parallel and Perpendicular Lines, Transversals, Alternate Interior Angles, Alternate Exterior Angles
The Organic Chemistry Tutor
Introduction to Geometry
Justin Backeberg
Geometry 1.1: Identify Points, Lines, and Planes
BYJU'S - Class 9 & 10
Lines and Angles Class 9 Maths in One Shot (Solving Important Questions/MCQs) | BYJU'S Class 9
Problems Beater
icse | class-9th | mathematics | ch-9 |Triangles(congruency in Triangles) | intro | ex-9a | part-1
Summary
00:00
Polygon Properties Explained in Simple Terms
- Joining 3 points in pairs results in a line, while 3 collinear points form a triangle.
- If no 3 points are collinear, they create a quadrilateral with 4 sides.
- The sum of angles in a quadrilateral is 360°, proven by dividing it into two triangles.
- Visualizing the angle sum property of a quadrilateral involves dividing it into two triangles.
- The sum of exterior angles in any polygon is always 360°.
- The number of sides in a polygon can be determined by dividing 360° by each exterior angle.
- In a polygon, the sum of interior angles can be found by multiplying the number of sides minus 2 by 180°.
