1. Basic Concepts in Geometry

• Point, line and plane
• Co-ordinates of a points and distance
• Betweenness
• Conditional statements
• Proof

2. Parallel Lines

• Properties of angles formed by
• parallel lines and its transversal
• Tests of parallel-ness of two lines
• Use of properties of parallel lines

3. Triangles

• Theorem of remote interior angles of a triangle
• Congruence of triangles
• Theorem of an isosceles triangle
• Property of 30°- 60°- 90° angled triangle
• Median of a triangle
• Property of median on hypotenuse of a right angled triangle
• Perpendicular bisector theorem
• Angle bisector theorem
• Similar triangles

4. Constructions of Triangles

• To construct a triangle, if following information is given.
• Base, an angle adjacent to the base and sum of lengths of two remaining sides.
• Base, an angle adjacent to the base and difference of lengths of remaining two sides.
• Perimeter and angles adjacent to the base.

5. Quadrilaterals

• Parallelogram
• Tests of parallelogram
• Rhombus
• Rectangles
• Mid point theorem
• Square
• Trapezium

6. Circle

• Circle
• Property of chord of the circle
• Incircle
• Circumcircle

7. Co-ordinate Geometry

• Axis, Origin, Quadrant
• Co-ordinates of a point in a plane.
• To plot a point.
• Line parallel to X-axis.
• Line parallel to Y-axis.
• Equation of a line.

8. Trigonometry

• Introduction of Trigonometry
• Trigonometric Ratios
• Relations among Trigonometric Ratios
• Trigonometric Ratios of Particular Angles

9. Surface Area and Volume

• Surface area of a cone
• Volume of a cone
• Surface area of a sphere
• Volume of a sphere