1. Similarity

• Ratio of areas of two triangles
• Basic proportionality theorem
• Converse of basic proportionality theorem
• Tests of similarity of triangles
• Property of an angle bisector of a triangle
• property of area of similar triangles
• The ratio of the intercepts mode on the transversal by three parallel lines

2. Pythagoras Theorem

• Pythagoras triplet
• Similarity and right angled triangles
• Theorem of geometric mean
• Pythagoras theorem
• Application of Pythagoras
• Apollonius theorem

3. Circle

• circles passing through one, two & three points
• Secant and tangent
• Circles touching each other
• Arc of a circle
• Inscribed angle and intercepted arc
• Cyclic quadrilateral
• Secant tangent angle theorem
• Theorem of intersecting chords

4. Geometric Construction

• Construction of a triangles similar to the given triangles

1. To construct a triangles, similar to the given triangle, bearing the given ratio with the sides of the given triangle.

(i) When vertices are distinct

(ii) When one vertex is common

• Construction of a tangent to a circle.

1. To construct a tangent at a point on the circle.

(i) Using centre of the circle

(ii) Without using the centre of the circle.

1. To construct tangents to the given circle from a point outside the circles

5. Co-ordinate Geometry

• Distance formula
• Section formula
• Slope of a line

6. Trigonometry

• Trigonometric ratio
• Trigonometric identities
• Angles of elevation and angle of depression
• Problems based on height and distances

7. Mensuration

• Mixed examples on surface area and volume of different solid figures
• Arc of circles - length of arc
• Area of a sector
• Area of segment of a circle