What is the difference between a coordinate geometry proof and a proof method that does not require coordinate geometry? When would it be appropriate to use a coordinate proof rather than another proof method?

Question

anonymous · Answer

It depends on the question. If asked to prove through coordinates then you have to, if not mentioned..just follow the method you are more clear with :)

anonymous · Answer

I need to know the exact differences between them? And when one method is more effective than the other..

anonymous · Answer

2 proofs
1)Coordinate Method
Can be used when the graph is given or the graph of a question is given.
Example: Prove that the perimeter of the triangle is _________ units via coordinate geometry. Easier if you know the formula for the question and so.

2)Algebraic Method
Can be done when no graph is given, or the question contains variables which are in form of certain formula like quadratic or polynomial ones.
Example: 6x^2+3x+27 factorize. Here you cannot use graphical means.

In both cases, use the one you are more familiar with. The graphical ones requires usage of less formulas but more careful observations while algebraic method needs you to pay more attention to formulas.

anonymous · Answer

Thank you so much! :)

anonymous · Answer

My pleasure! :)