GEOMETRY (THEOREMS) : GEOMETRY (THEOREMS)
GEOMETRY (THEOREMS) : GEOMETRY (THEOREMS) Theorems in Mathematics are the established rules for further applications.
Procedure of presenting a theorem is a logical, methodical and step-wise process. The steps to be followed religiously to have the total obtainment of markings.
There are five steps, as follows:
Statements
Given
To prove
Construction
Proof.
The steps are as follows:- : Statement: Mostly the statements are provided in the question itself, even though it is better to go through the statements properly and while answering it’s always good to start with the write-up of the statement.
2. Given: In this step we provide a figural presentation of the statement of the theorem. It consists the figure with alphabetical notation and its interpretations. The steps are as follows:-
Slide4 :
To Prove: In this step, we provide the only portion which we are going to prove strictly according to the figure.
4. Construction: In this step, we write about the constructions, we need to make, for proving the statement of the theorem. The constructions can be drawn in the same figure which we have already drawn in the ‘Given’ step.
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5. Proof: In this step, specifically we will prove the theorem. This step is conception-wise most important and we need to be brief and to the point.
Remember: If in the process of proving a theorem we use another theorem for reference then we must mention the same in the bracket in the next to the respective step.
Slide6 : Let’s have an Example from book:-
Slide7 : Basic Proportionality Theorem
Slide8 : Basic Proportionality Theorem
Slide9 : We can discuss all the theorems in some other platform dedicated to Geometry only.
Since this workshop is to have preparation tips for board exam let’s move towards our next topic…
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