What is a rectangle? Particular cases of a rectangle

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 in which it is easy enough to understand, having familiarized themselves with their basic laws. Geometry also applies to them. To get to know all the subtleties of this science, you must necessarily get acquainted with its basics, axioms. After all, without fundamentals in geometry, nowhere.

Defining a rectangle

A rectangle is a geometric figure with four straight angles. The definition is quite simple, but do not think that the student will not have problems with studying 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 denoted by the Latin letters a and b.

Properties of the rectangle

• The sides lying against each other are equal and parallel;
• The diagonals of the figure are equal;
• The point of intersection of diagonals divides them in half;
• The rectangle can be divided into two equal rectangular triangles.

Rectangle features

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 quadrangle with three right angles is a rectangle.

A little more interesting

So, what is a rectangle is now clear, but what role does it play in geometric problems and when measuring in practice, it remains to be seen. So, first of all, it must be said that this is the most convenient geometric figure, with the help of which it is possible to divide the area into sections both in open areas and in premises. What is a rectangle? As you know, it is a quadrangle. There are many varieties of the latter, among which we can call a trapezoid (only two sides are equal), a parallelogram (opposite sides are parallel), a square (all angles and sides are the same), a rhombus (parallelogram with equal sides), and others. A special case of a rectangle is a square in which all the angles are straight, and the sides are equal.

You can not talk about what a rectangle is, and do not mention how to determine its size. The area of this geometric figure is considered to be the product of its width by the length, and the perimeter, like any figure, is equal to 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.