Understanding Quadrilaterals | Learn with BYJU'S
BYJU'S・1 minute 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.
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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°.
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Summary
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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°.
