Maharashtra State BoardSSC (Marathi Semi-English) 9th
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Geometry 9th SSC (Marathi Semi-English) Maharashtra State Board Topics and Syllabus

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Academic year:

Topics with syllabus and resources

1.00 Basic Concepts in Geometry
2.00 Parallel Line

 

 

3.00 Triangles
4.00 Constructions of Triangles
  • Perpendicular bisector Theorem 
    • Perpendicular bisector Theorem
  • Construction of Triangles 
    • To construct a triangle when its base, an angle adjacent to the base and the sum of the lengths of remaining sides is given.

    • To construct a triangle when its base, angle adjacent to the base and difference between the remaining sides is given.

    • To construct a triangle, if its perimeter, base and the angles which include the base are given.

5.00 Quadrilaterals
  • Concept of Quadrilaterals 
  • Types of Quadrilaterals 
    • Parallelogram 
      • Opposite sides and opposite angles of a parallelogram are congruent.
      • Diagonals of a parallelogram bisect each other.
      • If a pair of opposite sides of a quadrilateral are equal and parallel, it is a parallelogram.
  • Tests for parallelogram 
    • If pairs of opposite sides of a quadrilateral are congruent then that quadrilateral is a parallelogram.
    • If both the pairs of opposite angles of a quadrilateral are congruent then it is a parallelogram.
    • If the diagonals of a quadrilateral bisect each other then it is a parallelogram.
    • A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and congruent.
  • Properties of Rhombus 
    • Diagonals of a rhombus are perpendicular bisectors of each other.
  • Properties of Square 
    • Diagonals of a square are congruent.
  • Properties of Rectangle 
    • Diagonals of a rectangle are congruent.
  • The Mid-point Theorem 
    • Theorem of midpoints of two sides of a triangle : The line segment joining the mid-points of any two sides of a triangle is parallel to the third side, and is equal to half of it.

    • Converse of midpoint theroem : The straight line drawn through the mid-point of one side of a triangle parallel to another, bisects the third side.
6.00 Cirle
  • Concept of Circles 
    • Circle
    • Centre of the circle
    • Radius 
    • Chord
    • Diameter
    • Concentric Circle
  • Properties of Chord 

    Properties of congruent chords:

    • A perpendicular drawn from the centre of a circle on its chord bisects the chord.
    • The segment joining the centre of a circle and the midpoint of its chord is perpendicular to the chord.

    Relation between congruent chords of a circle and their distances from the centre

    • Congruent chords of a circle are equidistant from the centre of the circle.

    • The chords of a circle equidistant from the centre of a circle are congruent.

  • Incircle Of a triangle 
  • Circumcircle of circle 
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