Page 7 - Mathematics Class - X

UNIT - 4: Geometry

4.1. To establish the criteria for similarity of two triangles. 47

4.2. To verify the Basic Proportionality Theorem (Thales Theorem). 52

4.3. To verify experimentally that the ratio of the areas of two similar triangles is equal to the ratio of 55
the squares of their corresponding sides.
4.4. To verify Pythagoras theorem. 58

4.5. To verify experimentally that the tangent at any point to a circle is perpendicular to the radius 61
through that point.

4.6. To verify that the lengths of tangents to a circle from external point are equal. 64

UNIT - 5: Trigonometry

5.1. To find the height of a building using a clinometer. 68

UNIT - 6: Mensuration

6.1. To obtain formula for area of a circle experimentally. 73

UNIT - 7: Statistics and Probability

7.1. To determine experimental probability of 1, 2, 3, 4, 5 or 6 by throwing a die 500 times and compare 77
them with their theoretical probabilities.

7.2. To determine experimental probability of a head (or a tail) by tossing a coin 1000 times and compare 81
it with its theoretical probability.

PROJECTS

1. Sum of the exterior angles of a polygon having n sides will be equal to 360 °. 87

2. Ramanujan Number (1729). 87

3. Indian mathematicians and their contributions. 88

4. Application of geometry in day-to-day life. 89

5. Application of mensuration in day-to-day life. 90
6. Application of algebra in day-to-day life. 91

7. To prove Pythagoras theorem (by method other then given in textbook). 92

8. Extensions of Pythagoras theorem. 93

GLOSSARY