3. Geomerty - ICSE 10 Maths
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3. Geomerty

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

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  1. 3

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

  2. 3.1

    Two figures are similar if they share the same shape, regardless of their...

  3. 3.1.1

    Two figures are considered similar if they share the same shape, regardless...

  4. 3.1.1.1
    Criteria For Similarity

    This section explains the criteria for establishing similarity between...

  5. 3.1.1.2
    Proportionality In Similar Triangles

    This section discusses the principles of similarity in triangles and the...

  6. 3.2

    This section explores key properties, theorems, and results concerning...

  7. 3.2.1
  8. 3.2.1.1

    This section discusses various key geometrical concepts related to circles,...

  9. 3.3
    Constructions

    This section focuses on geometric constructions using a compass and ruler,...

  10. 3.3.1

    This section explores geometric constructions, including how to construct...

What we have learnt

  • Two figures are similar if they have the same shape but different sizes.
  • Tangents to a circle are perpendicular to the radius at the point of contact.
  • Construction problems involve precise drawings of triangles, tangents, and circles using compass and ruler.

Key Concepts

-- Similarity
Two figures are similar if they have the same shape but are not necessarily the same size.
-- Tangent
A tangent to a circle is a line that touches the circle at exactly one point and is perpendicular to the radius at that point.
-- Cyclic Quadrilateral
A quadrilateral inscribed in a circle where the opposite angles are supplementary.
-- Construction
A method of drawing geometric shapes using a compass and a straightedge to create precise figures.

Additional Learning Materials

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