10.3.i.a Lines of symmetry of an isosceles triangle, equilateral triangle, rhombus, square, rectangle, pentagon, hexagon, octagon (all regular) and diamond-shaped figure.
10.3.i.b Being given a figure, to draw its lines of symmetry. Being given part of one of the figures listed above to draw the rest of the figure based on the given lines of symmetry (neat recognizable free hand sketches acceptable).
10.3.ii Similarity - Axioms of similarity of triangles. Basic theorem of proportionality.
10.3.ii.1 Axioms of similarity of triangles. Basic theorem of proportionality.
10.3.ii.1.a Areas of similar triangles are proportional to the squares on corresponding sides.
10.3.iv.d.4 If a chord and a tangent intersect externally, then the product of the lengths of segments of the chord is equal to the square of the length of the tangent from the point of contact to the point of intersection.
10.3.iv.d.5 If a line touches a circle and from the point of contact, a chord is drawn, the angles between the tangent and the chord are respectively equal to the angles in the corresponding alternate segments.
10.3.v.a Construction of tangents to a circle from an external point.
10.4.1.b Area (total surface and curved surface) and Volume. Direct application problems including cost, Inner and Outer volume and melting and recasting method to find the volume or surface area of a new solid. Combination of two solids included.