
Geometry Syllabus – Common core curriculum
 Lines and Angles
 Line
 Line segment and Ray
 Angle
 Type of angles
 Parallel Lines
 Transversal
 Parallel lines and relation between different angles formed by transversal and parallel lines
 Triangles
 Triangle
 Basic properties of triangle
 Angle sum property and different types of Triangles
 Congruence of triangles
 Congruency
 SSS, SAS, ASA, AAS and RHS congruency of triangles
 Concurrent lines in Triangles
 MedianCentroid
 AltitudeOrthocentre
 Angular bisectorIncentre.
 Polygons
 Polygon
 Different types of Polygons
 Interior angle Sum
 Exterior angle sum and No.Of diagonals.
 Quadrilaterals
 Quadrilateral
 Angle sum properties of Quadrilateral and basic properties of Quadrilateral.
 Types of Quadrilateral
 Quadrilateral
 Trapezium
 Parallelogram
 Rectangle
 Rhombus
 Square and their properties.
 Various theorems in Quadrilateral
 MidPoint theorem
 Converse of MidPoint theorem and Intercept theorem
 Similar Triangles
 Similarity
 Properties of Similar Polygons
 Basic Propertionality theorem and its Converse
 Vertical Angle bisector theorem and its Converse
 Criteria for Similarity of Triangles
 SSS, SAS and AAA similarity
 Areas and Perimeters of Similar Triangles
 The ratios of similar Triangles and Perimeters of Similar Triangles
 Right triangle and Pythagorean theorem
 Pythagorean theorem and its Converse
 Mean proportionality relations in Right triangle and conditions for verifying type of triangle
 Right triangleTrigonometry
 Different systems of measuring angles
 Trigonometric ratios
 Tratios of (90 – x )
 Circles
 Basic terms of Circle
 Length of arc
 Area of a sector
 Circle theorems
 Various theorems on Chord
 Central angle theorem and its applications
 Various theorems on Tangents
 Perimeter and Area
 Perimeter and Area of various triangles, quadrilaterals and Circles
 Volume and Surface area
 Volume and Surface area of Cuboid, cube, Cylinder, Cone and Sphere