Geometry Maths 2 SSC (English Medium) 10th Standard Maharashtra State Board Syllabus 2025-26

Maharashtra State Board 10th Standard Geometry Maths 2 Syllabus - Free PDF Download

Maharashtra State Board Syllabus 2025-26 10th Standard: The Maharashtra State Board 10th Standard Geometry Maths 2 Syllabus for the examination year 2025-26 has been released by the MSBSHSE, Maharashtra State Board. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2025-26 Maharashtra State Board 10th Standard Geometry Maths 2 Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new Maharashtra State Board syllabus to prepare for their annual exam properly.

The detailed Maharashtra State Board 10th Standard Geometry Maths 2 Syllabus for 2025-26 is below.

Academic year:

Maharashtra State Board 10th Standard Geometry Mathematics 2 Revised Syllabus

Maharashtra State Board 10th Standard Geometry Mathematics 2 Course Structure 2025-26 With Marking Scheme

#	Unit/Topic	Weightage
1	Similarity	10
2	Pythagoras Theorem	7
3	Circle	12
4	Geometric Constructions	7
5	Co-ordinate Geometry	7
6	Trigonometry	7
7	Mensuration	10
	Total	-

Syllabus

1 Similarity [Revision]

Properties of Ratios of Areas of Two Triangles
1. Ratio of areas of two triangles is equal to the ratio of the products of their bases and corresponding heights.
2. Areas of triangles with equal heights are proportional to their corresponding bases.
3. Areas of triangles with equal bases are proportional to their corresponding heights.
Basic Proportionality Theorem
- Theorem
Property of an Angle Bisector of a Triangle
- Theorem: The bisector of an angle of a triangle divides the side opposite to the angle in the ratio of the remaining sides.
Property of Three Parallel Lines and Their Transversals
- Theorem: The ratio of the intercepts made on a transversal by three parallel lines is equal to the ratio of the corresponding intercepts made on any other transversal by the same parallel lines.
Similarity of Triangles (Corresponding Sides & Angles)
- Corresponding Sides
- Corresponding Angles
Relation Between the Areas of Two Triangles
Theorem 2 - The areas of two similar triangles are proportional to the squares on their corresponding sides.
Criteria for Similarity of Triangles
Overview of Similarity

2 Pythagoras Theorem [Revision]

Pythagoras Theorem
Pythagorean Triplet
- Formula for Pythagorean triplet:
If a, b, c are natural numbers and a > b, then [(a2+ b2),(a2 - b2),(2ab)] is Pythagorean triplet.
Property of 30°- 60°- 90° Triangle Theorem
- Theorem: If the acute angles of a right-angled triangle have measure 30° and 60°, then the length of the side opposite to 30° angle is half the length of the hypotenuse.
- Theorem: If the acute angles of a right-angled triangle have measure 30° and 60°, then the length of the side opposite to 60° angle is `(sqrt3)/2` × hypotenuse.
Property of 45°- 45°- 90° Triangle Theorem
- Theorem: If measures of angles of a triangle are 45°, 45°, 90° then the length of each a side containing the right angle is `1/(sqrt2)` × hypotenuse.
Similarity in Right Angled Triangles
- Theorem: In a right angled triangle, if the altitude is drawn to the hypotenuse, then the two triangles formed are similar to the original triangle and to each other.
Theorem of Geometric Mean
In a right angled triangle, the perpendicular segment to the hypotenuse from the opposite vertex is the geometric mean of the segments into which the hypotenuse is divided.
Right-angled Triangles and Pythagoras Property
Converse of Pythagoras Theorem
In a triangle if the square of one side is equal to the sum of the squares of the remaining two sides, then the triangle is a right angled triangle.
Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
Apollonius Theorem
In Δ ABC, if M is the midpoint of side BC, then AB² + AC² = 2AM²+ 2BM²
Overview of Pythagoras Theorem

3 Circle [Revision]

Circles Passing Through One, Two, Three Points
- Infinite circles pass through one point.
- Infinite circles pass through two distinct points.
- There is a unique circle passing through three non-collinear points.
- No circle can pass through 3 collinear points.
Tangent and Secant Properties
Secant and Tangent
- Introduction
- Definition: Secant
- Definition: Tangent
- Key Points Summary
Inscribed Angle Theorem
- The measure of an inscribed angle is half of the measure of the arc intercepted by it.
Intersecting Chords and Tangents
Corollaries of Inscribed Angle Theorem
- Angles inscribed in the same arc are congruent.
- Angle inscribed in a semicircle is a right angle.
Angle Subtended by the Arc to the Point on the Circle
Angle Subtended by the Arc to the Centre
Overview of Circle

4 Geometric Constructions [Revision]

Geometric Constructions
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
Overview of Geometric Constructions

5 Co-ordinate Geometry [Revision]

Distance Formula
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
Section Formula
- Formula
- Division of Line Segment
- Proof
- Examples
Mid-Point Formula
- Formula
- Examples
Formula for the Centroid of a Triangle
- Formula
- Example
Concept of Slope (or, gradient)
- Slope of a Line Or Gradient of a Line.
- Parallelism of Line
- Perpendicularity of Line in Term of Slope
- Collinearity of Points
- Slope of a line when coordinates of any two points on the line are given
- Conditions for parallelism and perpendicularity of lines in terms of their slopes
- Angle between two lines
- Collinearity of three points
Standard Forms of Equation of a Line
Overview of Co-ordinate Geometry