Maharashtra State Board Syllabus For 9th Standard [इयत्ता ९ वी] Geometry: Knowing the Syllabus is very important for the students of 9th Standard [इयत्ता ९ वी]. Shaalaa has also provided a list of topics that every student needs to understand.
The Maharashtra State Board 9th Standard [इयत्ता ९ वी] Geometry syllabus for the academic year 2021-2022 is based on the Board's guidelines. Students should read the 9th Standard [इयत्ता ९ वी] Geometry Syllabus to learn about the subject's subjects and subtopics.
Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the Maharashtra State Board 9th Standard [इयत्ता ९ वी] Geometry Syllabus pdf 2021-2022. They will also receive a complete practical syllabus for 9th Standard [इयत्ता ९ वी] Geometry in addition to this.
Maharashtra State Board 9th Standard [इयत्ता ९ वी] Geometry Revised Syllabus
Maharashtra State Board 9th Standard [इयत्ता ९ वी] Geometry and their Unit wise marks distribution
Maharashtra State Board 9th Standard [इयत्ता ९ वी] Geometry Course Structure 2021-2022 With Marking Scheme
| # | Unit/Topic | Marks |
|---|---|---|
| 1 | Basic Concepts in Geometry | |
| 2 | Parallel Line | |
| 3 | Triangles | |
| 4 | Constructions of Triangles | |
| 5 | Quadrilaterals | |
| 6 | Circle | |
| 7 | Co-ordinate Geometry | |
| 8 | Trigonometry | |
| 9 | Surface area and volume | |
| Total | - |
Syllabus
- Basic Concept in Geometry
- Co-ordinates of Points and Distance
- Basic concept of segment, ray and line
- Line Segment
- Ray
- Line
- Congruent Segments
- Properties of Congruent Segments
- Mid-point of a segment
- Comparison of segments
- Perpendicularity of segments or rays
- Distance of a point from a line
- Conditional Statements and Converse
- Proofs
- Checking Parallel Lines
- Concept for Properties of Parallel Lines with Transversal
- Interior angle theorem
- Corresponding angles and alternate angles theorem
- Use of properties of parallel lines
- Test for Parallel Line
- Interior angles test
- Alternate angles test
- Corresponding angle test
- Concept of Triangles - Sides, Angles, Vertices, Interior and Exterior of Triangle
- Theorem of remote interior angles of a triangle
- Remote-Interior Angles of a Triangle Theorem
- Property of an exterior angle of triangle
- Congruence of Triangles
- Isoscles Triangle Theorem
- Isoscles Triangle Theorem
- Converse of Isoscles Triangle Theorem
- Corollary
- Property of 30-60-90 Triangle Theorem
- 30-60-90 Triangle Theorem
- 45-45-90 Triangle Theorem
- Median of a Triangle
- Perpendicular bisector Theorem
- Perpendicular bisector Theorem
- Angle bisector theorem
- Properties of inequalities of sides and angles of a triangle
- Similar Triangles
- Perpendicular bisector Theorem
- Perpendicular bisector Theorem
- Construct a Triangle Given the Lengths of Its Three Sides
- Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles
- Types of Quadrilaterals
- 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.
- The Mid-point Theorem
- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- 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.
- Construction of the Incircle of a Triangle.
- Circumference of a Circle
- Surface Area of a Cuboid
- Surface Area of a Right Circular Cone
- Surface Area of a Sphere
- Surface area of a sphere
- Hemisphere
- Hollow Hemisphere
