BASIC METHODS FOR PROOF FORMULAS OF AREAS AND VOLUMES
The studying of geometry is an important part of the math learning process. Theorems are a significant part of this course, and they must be proven. When pupils take part in theorem proving, it contributes to their better understanding, remembering the wording or the investigated formula, stages of proof, and also activates mental activity and develops logic. Many theorems in geometry are theorems that are related to the area formulas of plane figures and volumes, and their learning takes more than one academic year. Each new area or volume formula requires proof, so the important question is: «How are these formulas proved?». It is necessary to determine what method can be used to prove a specific formula, what is the general scheme of this method of proof and what figures correspond to this method and why. So the theme of the research «Basic methods for proof formulas of areas and volumes» is relevant. This article contains the basic methods by which formulas of areas and volumes of various figures are usually proved. The essence of each of the methods and their specific characteristic constructions are reflected there. The sequence of stages of proof is revealed. It allows you to use these methods for various figures. Considering particular methods, the figures for which these methods are used for volume formula output are highlighted. The most convenient options for transforming the figure that are characteristic of these methods are listed.