what is the technique behind finding out reasons in the theorems of geometry (9th std.)?

Question

since i am weak in finding reasons of theorems i want a definite way in solving theoretical sums.

Answer 1

I'm going to assume that you're asking how to assemble a proof of a given theorem; your question is something less than fully clear, I'm afraid.

On the whole, you know where you're starting, and you know where you want to go. The trick is to know the tools you have at hand (other, previously proven, relationships in geometry) and to look for a path that connects the two. There is no general purpose approach to doing this, actually; what you need to have is a broad enough understanding of the stuff already available to you that you can quickly see the connections to get there.

One trick I have used is to ask myself what the step right before the final result needs to look like; then, what might come before that, and see what I know that matches it.

ON the whole, that's solving it backwards, but whatever works, right?

As for the theoretical sums, those aren't really geometry, are they?

Answer 2

It depends on the problem, and the answers are sometimes surprising. One technique that often helps me is to make several different drawings which satisfy the given information, and watch how the parts of the drawing interact as the pieces move around subject to those constraints.

Answer 3

sorry to say, but for some of it, you just have to use supreme math ability. try one way, if that fails, try a different one. that's why they are so hard sometimes - i hate proofs. just use what you already know and apply it to the given situation.