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How to learn to solve geometry problems

How to learn to solve geometry problems

Geometry - one of the most important areas of mathematics. The ability to solve math problems required both in the exams in mathematics at school and university, and in many professions, in practice.

How to acquire this skill?



Possession of theoretical material will give youtools without which the solution of even simple tasks. Science geometry is divided into two sections - plane and space geometry. It will need to have basic knowledge in both disciplines.


To solve planimetric (planar) tasksneed to know the formula for determining the areas, perimeters of figures: parallelograms (including varieties: diamonds, rectangles), trapezoids, triangles, circles. Learn the theorem about the equality and similarity of triangles - they will be needed for most tasks planimetric. It is also necessary to know the definition of angles, parallel and perpendicular lines.


Learn the theory needed to solvestereometric problems (associated with bulky bodies in space). The formula for calculating the volume and surface area of ​​a parallelepiped, pyramid, cone, sphere and cylinder not only become loyal assistant in solving problems on geometrii- their knowledge will help you in everyday life - in the repair, construction, interior unit.


Secure knowledge and enhance understanding of the formulas youhelp permutation test values ​​of the parameters (sides, radius) studied geometric shapes. By setting the value of a square of 10 cm sides, it is possible to calculate the area and perimeter of the formulas P = 4 * a and S = a * a. Not only do you get the results (40 cm and 100 cm sq., Respectively), but also to get the required computing experience and operating geometrical parameters. With it, you will be able to solve simple problems.


Solving complex problems is not withouta preliminary proof of the equality of figures. Dividing polygons and composite figures of the direct holding of the perpendiculars (heights) and the median will help to break complex objects into simpler elements, to calculate areas and volumes which will not be easy.

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