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NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals

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The chapter likewise covers various polygons and contains four exercises which help the students in understanding these shapes appropriately. The arrangement of quadrilaterals is dependent on the nature of its sides or angles:

Polygons
A closed curve consisting of only line segments is called a polygon. The sides of a polygon never cross each other.

Classification of Polygons based on the Number of Sides

  • Triangle - 3 sides
  • Quadrilateral – 4 sides
  • Pentagon – 5 sides
  • Hexagon – 6 sides
  • Heptagon – 7 sides
  • Octagon - 8 sides
  • Nonagon - 9 sides
  • Decagon - 10 sides

Diagonals
Diagonals are the line segments connecting two non-consecutive vertices of a polygon.

Polygons based on Shape

  • A concave polygon has one of its interior angles greater than 90°
  • A convex polygon is the one that has all its interior angles less than 180°.

Polygons based on Regularity

  • A regular polygon has all the sides, and all the angles equal, i.e. a square.
  • An irregular polygon is neither equilateral nor equiangular, i.e. a rectangle.

The sum of all the inner angles of a polygon equals to [(n−2) ×180°], where n refers to the number of sides. The sum of all the external angles of a polygon equals to 360°.

Parallelogram

  • A parallelogram has four sides and four angles.
  • Also, the opposite sides and opposite angles of a parallelogram are equal.
  • Opposite angles in a parallelogram are equal.
  • Adjacent angles in a parallelogram are supplementary.
  • The diagonals of a parallelogram are known to bisect each other at the point of intersection.

 

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Key Features of Aakash's NCERT Solutions

  • Geometrical shapes with corresponding definitions are made alive by Aakash's solution.
  • A glance at these well-defined theorems and formulas removes all doubts and queries of students.
  • The answers provided here teach students the tactics of solving problems in no time and score the highest in exams.
     
Also See    
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers NCERT Solutions for Class 8 Maths Chapter 2:Linear Equations in One Variable NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry
NCERT Solutions for Class 8 Maths Chapter 5 Data Handling NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots
NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities NCERT Solutions for Class 8 Maths Chapter 9 Rational Numbers NCERT Solutions for Class 8 Maths Chapter 10: Visualizing Solid Shapes
NCERT Solutions for Class 8 Maths Chapter 11 Mensuration NCERT Solutions for Class 8 Maths Chapter 12:Exponents and Powers NCERT Solutions for Class 8 Maths Chapter 13:Direct and Inverse Proportions
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers

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