Related Unit Name
- Definitions, examples, counter examples of similar triangles.
- Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.
- Division of a line segment in a given ratio (internally)
- Tangent to a circle from a point outside it?
- Construction of a triangle similar to a given triangle?
- Trigonometric ratios of an acute angle of a right-angled triangle.
- Proof and applications of the identity sin2A + cos2A = 1.
- Simple and believable problems on heights and distances.
- Proof of their existence (well defined)?
- Motivate the ratios, whichever are defined at 0° and 90°?
- Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°?
- Relationships between the ratios?
- Only simple identities to be given.
- Only simple identities to be given.
- Trigonometric ratios of complementary angles.
- Problems should not involve more than two right triangles.
- Angles of elevation / depression should be only 30°, 45°, 60°.
- Motivate the area of a circle;
- Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
- area of sectors and segments of a circle.
- Problems based on areas mfand perimeter / circuerence of the above said plane figures.
- Problems involving converting one type of metallic solid into another and other mixed problems.