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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
- Median-Centroid
- Altitude-Orthocentre
- Angular bisector-Incentre.
- 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
- Mid-Point theorem
- Converse of Mid-Point 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 triangle-Trigonometry
- Different systems of measuring angles
- Trigonometric ratios
- T-ratios 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