Answer with explanation:
A.→Experiment
In Experiments we do not require basic geometrical equipment.While doing experiment, to find the value of g, we use string, cork to find value of g(Acceleration due to gravity).We use different locations, to check whether value of g is same or it differs.There is no geometric proof required.
B.→Opinions
In opinion we use our senses to answer.Someone has better sense, he or she can provide better opinion on that issue ,where opinion is being taken.So,there is no geometrical use or geometric proof required while taking or forming opinion.
C:→Postulates
are the mathematical truths which do not require any proof.They are universally true statement which is used for proving other mathematical statement.
D: →Theorems
While dealing with areas and volumes of fields and different solid, we use theorems so, that things can be calculated or evaluated in more appropriate way.So, to prove theorems we require things which we call geometrical equipment.While dealing with theorems we use geometrical proof in which geometrical equipment like compass, ruler,set Square is required.
