ICSE Class 10 Maths | 3. Geomerty by Pavan | Learn Smarter with Allrounder.ai
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Knowledge
3. Geomerty

The chapter covers essential concepts in geometry including similarity of figures, properties and theorems related to circles, and techniques for geometric constructions. Key criteria for establishing similarity in triangles are highlighted, alongside fundamental properties of tangents and cyclic quadrilaterals. Techniques for accurate construction of geometric shapes using compass and ruler are also discussed.

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Sections

  • 3

    Geometry

    This section covers key concepts in geometry, focusing on similarity, circles, and constructions.

    Learning Practice

  • 3.1

    Similarity

    Two figures are similar if they share the same shape, regardless of their size, with specific criteria for triangles.

    Learning Practice

  • 3.1.1

    Explanation

    Two figures are considered similar if they share the same shape, regardless of size, particularly in triangles where specific criteria define their similarity.

    Learning Practice

  • 3.1.1.1

    Criteria For Similarity

    This section explains the criteria for establishing similarity between geometric figures, particularly focusing on triangles.

    Learning Practice

  • 3.1.1.2

    Proportionality In Similar Triangles

    This section discusses the principles of similarity in triangles and the proportional relationships between their corresponding sides.

    Learning Practice

  • 3.2

    Circles

    This section explores key properties, theorems, and results concerning circles, including relationships between tangents, radii, and inscribed angles.

    Learning Practice

  • 3.2.1

    Example

    Learning

  • 3.2.1.1

    Solution

    This section discusses various key geometrical concepts related to circles, such as tangents and their properties.

    Learning Practice

  • 3.3

    Constructions

    This section focuses on geometric constructions using a compass and ruler, including drawing tangents and similar triangles.

    Learning Practice

  • 3.3.1

    Explanation

    This section explores geometric constructions, including how to construct tangents to circles and similar triangles using a compass and ruler.

    Learning Practice

References

m3.pdf

Class Notes

Memorization

What we have learnt

  • Two figures are similar if ...
  • Tangents to a circle are pe...
  • Construction problems invol...

Final Test

Revision Tests