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A mathematics teacher wants to explain to her students how to write a geometrical proof. The most appropriate method for this could be :
Question

A mathematics teacher wants to explain to her students how to write a geometrical proof. The most appropriate method for this could be :

A.

To draw a table of axioms

B.

To explain the steps of drawing figures

C.

To give an argument or justification of statements

D.

To use observation

Correct option is C

(a), To draw a table of axioms, is not as appropriate because axioms are the basic assumptions of mathematics that are not proven. While it is important for students to be aware of axioms, they do not need to know how to draw a table of them in order to write a geometrical proof.
(b), To explain the steps of drawing figures, is not as appropriate because while figures are important for illustrating geometrical proofs, they are not the focus of the proof itself. The focus of the proof is on the logical argument that is used to prove the statement.
(d), To use observation, is not as appropriate because while observation can be used to make conjectures about geometric relationships, it is not sufficient for proving geometric statements. A geometrical proof must be based on a rigorous logical argument.
Therefore, the most appropriate method for explaining how to write a geometrical proof is to give an argument or justification of statements.

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