Academic year:
Units and Topics
#  Unit/Topic  Marks 

1  Basic Concepts in Geometry   
2  Parallel Line   
3  Triangles   
4  Constructions of Triangles   
5  Quadrilaterals   
6  Circle   
7  Coordinate Geometry   
8  Trigonometry   
9  Surface area and volume   
Total   
Syllabus
1 Basic Concepts in Geometry
 Basic Concept in Geometry
 Coordinates of Points and Distance
 Basic concept of segment, ray and line
 Line Segment
 Ray
 Line
 Congruent Segments
 Properties of Congruent Segments
 Midpoint of a segment
 Comparison of segments
 Perpendicularity of segments or rays
 Distance of a point from a line
 Conditional Statements and Converse
 Proofs
2 Parallel Line
 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
3 Triangles
 Concept of Triangles  Sides, Angles, Vertices, Interior and Exterior of Triangle
 Theorem of remote interior angles of a triangle
 RemoteInterior 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 306090 Triangle Theorem
 306090 Triangle Theorem
 454590 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
4 Constructions of Triangles
 Perpendicular bisector Theorem
 Perpendicular bisector Theorem
 Construct a Triangle Given the Lengths of Its Three Sides
5 Quadrilaterals
 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 Midpoint Theorem
6 Circle
 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
7 Coordinate Geometry
8 Trigonometry
9 Surface area and volume
 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
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