State and prove the Pythagoras theorem

State and prove the principle / Theorem of parallel axes.

State and prove principle / theorem of perpendicular axes.

State and prove Brewster's Law.

State and prove the law of conservation of linear momentum.

Without using Pythagoras theorem show that points A(4,4),B(3,5) and C(-1,-1) are the vertices of a right angled triangle.

Without using Pythagoras theorem show that points A(7,10),B(-2,5) and C(3,-4) are the vertices of a right angled triangle.

Theorem: The ratio of the areas of two triangles is equal to the ratio of the product of their bases and corresponding heights. To prove the above theorem, a. Draw two triangles, and show their bases and heights. b. Write 'given' and 'to prove' from the figures drawn.

State and prove principle of parallel axes.

State and prove of conservation of angular momentum. Explain it with examples.

Complete the following activities The areas of two triangle with same base are in proportion of their corresponding height. To prove the theorem, answer the following a. Draw two triangles, give names of all points,show their bases. b. Write ' given' and 'to prove' from the figures drawn.