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Understanding Quadrilateral — Revision Notes

Gujarat Board · Class 8 · Mathematics

Understanding Quadrilateral revision notes for Gujarat Board Class 8 Mathematics: 4 topics in quick points. Includes Polygons – Basic Concepts, Sum.

45 questions5 formulas & key relations5 concepts

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Key Topics to Revise

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.)

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Full Notes

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

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.

More resources for Understanding Quadrilateral

All Gujarat Board Class 8 Mathematics Revision Notes

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