Geography, biology, chemistry, algebra, geometry ... Schoolchildren have to deal with a lot of information from a wide variety of sciences. However, there are areas of knowledge that are easy to understand by looking at their basic laws. These include geometry. In order to know all the subtleties of this science, it is necessary to get acquainted with its basics, axioms. After all, without the basics in geometry, nowhere.
Rectangle definition
A rectangle is a geometric shape with four right angles. The definition is quite simple, but do not think that the student will not have problems with the study of such a topic, because there are a number of features. The dimensions of the rectangle depend on the length of its sides, which are most often indicated by the Latin letters a and b.
Rectangle Properties
- the parties lying against each other are equal and parallel;
- diagonals of a figure are equal;
- the intersection point of the diagonals divides them in half;
- a rectangle can be divided into two equal right triangles.
Rectangle signs
There are only three attributes that a rectangle has. Here they are:
- a parallelogram with equal diagonals is a rectangle;
- a parallelogram with one right angle is a rectangle;
- a rectangle with three right angles is a rectangle.
Some more interesting
So, what a rectangle is is now clear, but what role it plays in geometric problems and in measurements in practice remains to be seen. So, first of all, it must be said that this is the most convenient geometric figure, with which you can divide the area into sections both in the open area and in the premises.
What is a rectangle? As you know, it is a quadrangle. There are many varieties of the latter, among which can be called a trapezoid (only two sides are equal), parallelogram (opposite sides are parallel), square (all angles and sides are the same), rhombus (parallelogram with equal sides) and others. A special case of a rectangle is a square in which all angles are straight and the sides are equal.
You can not talk about what a rectangle is, and not to mention how to determine its dimensions. The area of this geometric figure is considered to be the product of its width by the length, and the perimeter, as with any figure, is the sum of the lengths of all sides. In this case, it is also equal to twice the sum of the length and width, since the opposite sides of the rectangle are equal. Now you know what a rectangle is and what to do with it, solving problems and comprehending the secrets of such a mysterious and mysterious science as geometry.