CBSE 8 Mathematics | 3. Understanding Quadriaterals by Pavan | Learn Smarter
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3. Understanding Quadriaterals

The chapter provides a detailed exploration of quadrilaterals, defining various types including convex and concave polygons, regular and irregular polygons, and specific shapes such as trapeziums, kites, parallelograms, rhombuses, rectangles, and squares. It highlights the properties of each shape, especially focusing on sides, angles, and diagonals. A series of exercises and activities engage students in classification, calculation, and exploration of geometric principles related to quadrilaterals.

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Sections

  • 3

    Understanding Quadrilaterals

    This section introduces the concept of quadrilaterals, exploring their classifications, properties, and the significance of shapes such as trapeziums, kites, parallelograms, rhombuses, rectangles, and squares.

    Learning Practice

  • 3.1

    Introduction

    This section introduces the basic concepts of polygons, differentiating between convex and concave shapes, as well as regular and irregular polygons.

    Learning Practice

  • 3.1.1

    Convex And Concave Polygons

    This section introduces the concepts of convex and concave polygons, defining their characteristics and clarifying the distinctions between them.

    Learning Practice

  • 3.1.2

    Regular And Irregular Polygons

    Regular polygons have equal sides and angles, while irregular polygons do not.

    Learning Practice

  • 3.2

    Sum Of The Measures Of The Exterior Angles Of A Polygon

    The sum of the measures of the exterior angles of any polygon is always 360°.

    Learning Practice

  • 3.3

    Kinds Of Quadrilaterals

    This section covers different types of quadrilaterals, defining their unique properties based on their sides and angles.

    Learning Practice

  • 3.3.1

    Trapezium

    A trapezium is defined as a quadrilateral with at least one pair of parallel sides.

    Learning Practice

  • 3.3.2

    Kite

    A kite is a quadrilateral characterized by having two distinct pairs of consecutive sides that are equal in length.

    Learning Practice

  • 3.3.3

    Parallelogram

    A parallelogram is defined as a quadrilateral with opposite sides that are parallel and equal in length, as well as its opposite angles being equal.

    Learning Practice

  • 3.3.4

    Elements Of A Parallelogram

    A parallelogram has four sides and four angles, where opposite sides are equal in length.

    Learning Practice

  • 3.3.5

    Angles Of A Parallelogram

    This section discusses the properties of the angles in a parallelogram, specifically the relationships between opposite and adjacent angles.

    Learning Practice

  • 3.3.6

    Diagonals Of A Parallelogram

    This section explores the properties of diagonals in a parallelogram, specifically focusing on their intersection and the concept of bisection.

    Learning Practice

  • 3.4

    Some Special Parallelograms

    This section highlights special types of parallelograms, namely the rhombus, rectangle, and square, focusing on their unique properties.

    Learning Practice

  • 3.4.1

    Rhombus

    A rhombus is defined as a special type of quadrilateral with all sides of equal length, classifying it as a parallelogram and possessing unique properties related to its diagonals.

    Learning Practice

  • 3.4.2

    A Rectangle

    A rectangle is defined as a parallelogram with equal angles, specifically right angles.

    Learning Practice

  • 3.4.3

    A Square

    A square is defined as a rectangle with equal sides, highlighting its properties as a special type of parallelogram.

    Learning Practice

References

NCERT Study Material

Class Notes

Memorization

What we have learnt

  • Polygons are classified as ...
  • A regular polygon is equian...
  • The sum of the exterior ang...

Final Test

Revision Tests

Chapter FAQs