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Understanding Quadrilateral — Syllabus

Gujarat Board · Class 8 · Mathematics

What Understanding Quadrilateral covers in Gujarat Board Class 8 Mathematics: 4 topics, for the 2026-27 session.

45 questions5 formulas & key relations5 concepts

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4 Topics · Gujarat Board Class 8 Mathematics · 2026-27

Topics in Understanding Quadrilateral

1

Polygons – Basic Concepts

  • A polygon is a simple closed curve made up of only line segments.
  • A convex polygon has all its diagonals lying completely inside it. No part of any diagonal goes outside.
  • A concave polygon has at least one diagonal that lies outside the figure.
2

Sum of Exterior Angles of a Polygon

  • The sum of all exterior angles of ANY polygon (convex) = 360°. This is true regardless of the number of sides.
  • This property is explained by imagining walking along the boundary of a polygon. After one complete trip, you turn exactly 360°.
  • For a regular polygon: Each exterior angle = 360° ÷ number of sides.
3

Types of Quadrilaterals

  • A quadrilateral is a polygon with exactly 4 sides.
  • The sum of all interior angles of a quadrilateral = 360°.
  • TRAPEZIUM: A quadrilateral with exactly ONE pair of parallel sides. The parallel sides are called 'bases'. If the non-parallel sides are equal, it is called an ISOSCELES TRAPEZIUM.
4

Properties of a Parallelogram

  • PROPERTY 1 (Opposite Sides): The opposite sides of a parallelogram are equal in length. (AB = DC and AD = BC)
  • PROPERTY 2 (Opposite Angles): The opposite angles of a parallelogram are equal in measure. (∠A = ∠C and ∠B = ∠D)
  • PROPERTY 3 (Adjacent Angles): The adjacent angles (co-interior angles) in a parallelogram are supplementary, i.e., they add up to 180°. (∠A + ∠B = 180°, ∠B + ∠C = 180°, etc.)

Key Concepts

A simple closed curve made upA convex polygon has all interiorA regular polygon is both equilateralWhen you walk around the perimeterA quadrilateral with exactly one pair

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Frequently Asked Questions

What are the important topics in Understanding Quadrilateral for Gujarat Board Class 8 Mathematics?
Key topics in Understanding Quadrilateral include Polygons – Basic Concepts, Sum of Exterior Angles of a Polygon, Types of Quadrilaterals, Properties of a Parallelogram. Study these first, then practise questions on each for Class 8 exams.
How should I revise Understanding Quadrilateral for Class 8 exams?
Learn the core ideas first, then work through the 45 practice questions on Understanding Quadrilateral. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Gujarat Board Class 8 Mathematics Syllabus

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