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4. Geometry

This chapter covers the fundamental aspects of geometry, including definitions and properties of basic shapes, angles, triangles, and circles. It also explores angle relationships, congruence criteria for triangles, and methods for constructing geometric figures. Understanding these concepts is essential for solving geometric problems and preparing for advanced mathematical studies.

Sections

  • 4

    Geometry

    This section introduces the fundamental concepts and terms related to Geometry, including points, lines, angles, triangles, and circles.

  • 4.1

    Introduction To Geometry

    Geometry is the study of shapes, sizes, angles, and properties of figures and spaces.

  • 4.2

    Basic Geometrical Concepts

    This section covers fundamental geometrical concepts including points, lines, line segments, rays, and planes.

  • 4.3

    Types Of Angles

    This section outlines the various types of angles classified based on their degree measures.

  • 4.4

    Angle Relationships

    This section covers the various relationships between angles, including complementary, supplementary, adjacent, linear pair, and vertically opposite angles.

  • 4.5

    Properties Of Parallel Lines

    This section covers the key properties of angles formed when a transversal intersects two parallel lines.

  • 4.6

    Triangles

    This section covers the classification of triangles based on their sides and angles, and explores fundamental properties related to triangles.

  • 4.7

    Properties Of Triangles

    The properties of triangles include the angle sum property, the exterior angle theorem, and the triangle inequality theorem.

  • 4.8

    Congruence Of Triangles

    This section explains the concept of triangle congruence and outlines the criteria used to determine whether two triangles are congruent.

  • 4.9

    Construction Of Geometrical Figures

    This section covers the methods and tools used to construct geometrical figures accurately.

  • 4.10

    Circles

    This section introduces the essential concepts related to circles, including terminology and the features that define a circle.

References

m9-4.pdf

Class Notes

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What we have learnt

  • Geometry involves the study...
  • Angles can be classified in...
  • Congruent triangles are def...

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