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**Books to refer:**

The resources you have as well as the way you use them determines how well you will Score in your exams. If you are a **CBSE Student, NCERT Textbooks **should definitely be on your list. Apart from this, you can refer various study guides such as,

- Mathematics for Class 10 by R D Sharma
- Secondary School Mathematics for Class 10 by RS Aggarwal
- All in one Mathematics by Arihant

For the** SSC board,you can refer to your Textbooks, Digest as well as the Class notes** available to understand and study the concepts thoroughly.

**Chapter wise weightage for Geometry (SSC)**

- Similarity – 10 Marks
- Circle – 10 Marks
- Geometrical construction – 10 Marks
- Trigonometry – 10 Marks
- Coordinate Geometry – 8 Marks
- Mensuration – 10 Marks

### Class 10 **Geometry Syllabus (Maharashtra State Board): **

#### Chapter 1: Similarity

- Similarity of Triangles
- Properties of Ratios of Areas of Two Triangles
- Basic Proportionality Theorem (Thales Theorem)
- Converse of Basic Proportionality Theorem.
- Property of an Angle Bisector of a Triangle
- Property of Three Parallel Lines and Their Transversals
- Similar Triangles
- Criteria for Similarity of Triangles
- AAA test for similarity of triangles
- AA test for similarity of triangles
- SAS test of similarity of triangles
- SSS test for similarity of triangles
- Areas of Similar Triangles

#### Chapter 2: Pythagoras Theorem

- Pythagorean Triplet
- Property of 30°- 60°- 90° Triangle Theorem
- Property of 45°- 45°- 90° Triangle Theorem
- Similarity in Right Angled Triangles
- Theorem of Geometric Mean
- Right-angled Triangles and Pythagoras Property
- Converse of Pythagoras Theorem
- Apollonius Theorem
- Application of Pythagoras Theorem in Acute Angle and Obtuse Angle

#### Chapter 3: Circle

- Concept of Circle – Centre, Radius, Diameter, Arc, Sector,Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Circles Passing Through One, Two, Three Points
- Secant and Tangent
- Tangent to a Circle Theorem
- Converse of Tangent Theorem
- Tangent Segment Theorem
- Theorem of Touching Circles
- Tangent Properties
- Arc of a circle: Major arc and Minor arc, Measurement of Arc, Congruence of Arcs.
- Intercepted Arc
- Inscribed Angle Theorem.
- Cyclic Quadrilateral
- Corollary of Cyclic Quadrilateral Theorem
- Converse of Cyclic Quadrilateral Theorem
- Theorem of Angle Between Tangent and Secant
- Converse of Theorem of the Angle Between Tangent and Secant
- Theorem of Internal Division of Chords
- Theorem of External Division of Chords
- Tangent Secant Segments Theorem
- Tangent – Secant Theorem
- Angle Subtended by the Arc to the Point on the Circle
- Angle Subtended by the Arc to the Centre
- Number of Tangents from a Point on a Circle

#### Chapter 4: Geometric Constructions

- Basic Geometric Constructions
- Division of a Line Segment
- Division of Line Segment in a Given Ratio
- Construction of a Triangle Similar to a Given Triangle
- Construction of Similar Triangle
- To Construct Tangents to a Circle from a Point Outside the Circle.

#### Chapter 5: Co-ordinate Geometry

- Distance Formula
- Intercepts Made by a Line
- Division of a Line Segment
- Division of Line Segment in a Given Ratio
- Construction of a Triangle Similar to a Given Triangle
- To divide a line segment in a given ratio
- To construct a triangle similar to a given triangle as per given scale factor
- The Mid-point of a Line Segment (Mid-point Formula)
- Centroid Formula
- Slope of a Line
- Slopes of X-axis, Y-axis and lines parallel to axes.
- Slope of line – using ratio in trigonometry
- Slope of Parallel Lines
- General Equation of a Line
- Standard Forms of Equation of a Line

#### Chapter 6: Trigonometry

- Trigonometric Ratios
- Trigonometric Ratios of Complementary Angles
- Trigonometry Ratio of Zero Degree and Negative Angles
- Trigonometric Identities
- Heights and Distances Problems involving Angle of Elevation
- Problems involving Angle of Depression
- Problems involving Angle of Elevation and Depression
- Application of Trigonometry

#### Chapter 7: Mensuration

- Concept of Surface Area, Volume, and Capacity
- Surface Area and Volume of Three Dimensional Figures
- Surface Area and Volume of Different Combination of Solid Figures
- Consideration of the time volume/surface area for solid formed using two or more shapes
- Sector of a Circle
- Area of a Sector of a Circle
- Length of an Arc
- Segment of a Circle
- Area of a Segment
- Circumference of a Circle
- Areas of Sector and Segment of a Circle
- Area of the Sector and Circular Segment
- Length of an Arc

### General tips to consider

In order to make sure you score good in your exams, you must keep in mind these general tips

- COVID-19 writing speed as well as focus has affected a lot.
- A lot of writing practice that has to be done by you.
- You must keep a track of your time while solving your mock papers and at the same time try to finish your exam at least 15 minutes early.
- Make sure that your presentation is neat as well as tidy.
- The question as well as answers should be in the same order for the examiner’s convenience. Note: If your Examiner is happy and can understand what you have written you have won half the battle.
- Don’t forget to use your reading time wisely before attempting your exam.
- Learn the High Weighted Chapters First
- Study with the help of Small Goals and simultaneously reward yourself.
- Make sure to solve mock question papers so you will know more clearly about exam pattern, marking structure, as well as important questions.

Through our article, we hope you have a clear understanding of Class 10 Geometry Syllabus & Study Material for Maharashtra State Board. To get an overall overview and learn the chapters in detail, visit Sir ACADEMY and book your demo classes today and take a step towards your excellence today! Don’t forget to download our app “**SIR ACADEMY**” for more such updates!

**Happy Learning! **