# Geometry Study material

Are you looking for an overall guide to know everything about your subject of class 10 and score good grades at the same time? You are at the right place here! Moreover, Get access to the most Required Study Materials, Class 10 Geometry Syllabus and Exam Preparation guide drafted for you exclusively by “Sir Academy” Download the Previous year Question papers as well as get a better understanding of the topics.

### 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.
• 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.
• 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!