Understanding Quadrilaterals | Learn with BYJU'S

BYJU'S・2 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.

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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°.
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