The characteristic of the main square is the fact that it is made up of four sides, which have exactly the same measurements. These sides are arranged to form four right angles (90 °).
The square It is a basic geometric figure, object of study of plane geometry, since it is a two-dimensional figure (which has width and height but lacks depth).
The squares are polygons. More specifically, polygons are (a) quadrilateral because they have four sides, (b) equilateral because they have sides that measure the same, and (c) equiangles because they have angles with the same amplitude..
These last two properties of the square (equilateral and equiangular) can be summed up in a single word: regular. This means that the squares are regular quadrilateral polygons.
Like other geometric figures, the square has an area. This can be calculated by multiplying one of its sides by itself. For example, if we have a square that measures 4 mm, its area would be 16 mmtwo.
The squares are made up of four sides that measure the same. Also, squares are two-dimensional figures, which means that they only have two dimensions: width and height..
The basic characteristic of squares is that they have four sides. They are flat figures, so they are called two-dimensional.
The squares are a polygon. This means that the squares are geometric figures delimited by a closed line formed by consecutive line segments (closed polygonal line).
Specifically it is a quadrilateral polygon because it has four sides.
A polygon is said to be equilateral when all sides have the same measure. This means that if one of the sides of the square measures 2 meters, all the sides will measure two meters..
The squares are equilateral, which means that all their sides measure the same.
In the image, a square with equal sides of 5 cm is shown.
A polygon is said to be equiangular when all the angles formed by the closed polygonal line have the same measure.
All squares are made up of four right angles (i.e. 90 ° angles), regardless of the particular angle measurements: both a 2 cm x 2 cm square and a 10 m x 10 m square have four right angles.
All squares are equiangles because their angles have the same amplitude. That is, 90 °.
When a polygon is equilateral and equiangular at the same time, it is considered to be a regular polygon.
Because the square has sides that measure the same and angles of equal amplitude, it can be said that this is a regular polygon.
Squares have both sides of equal measure and angles of equal width, so they are regular polygons.
In the image above, a square with four 5 cm sides and four 90 ° angles is shown.
The area of a square is equal to the product of one side and the other side. Since the two sides have exactly the same measure, the formula can be simplified by saying that the area of this polygon is equal to one of its sides squared, that is (side)two.
Some examples of calculating the area of a square are:
- Square with 2 m sides: 2 m x 2 m = 4 mtwo
- Squares with 52 cm sides: 52 cm x 52 cm = 2704 cmtwo
- Square with 10mm sides: 10mm x 10mm = 100mmtwo
The square presented in the image has sides of 5 cm.
Its area will be the product of 5 cm x 5 cm, or what is the same (5cm)two
In this case, the area of the square is 25 cmtwo
Parallelograms are a type of quadrilateral that have two pairs of parallel sides. This means that one pair of sides faces each other, while the same happens with the other pair..
There are four types of parallelograms: rectangles, rhombuses, rhomboids, and squares..
Squares are parallelograms because they have two pairs of sides that are parallel..
Sides (a) and (c) are parallel.
Sides (b) and (d) are parallel.
That two angles are congruent means that they have the same amplitude. In this sense, as a square have all the angles of the same amplitude, it can be said that the opposite angles are congruent.
On the other hand, the fact that two consecutive angles are complementary means that the sum of these two is equal to a straight angle (the one that has an amplitude of 180 °).
The angles of a square are right angles (90 °), so their sum gives 180 °.
To construct a square, a circle is drawn. Subsequently, two diameters are drawn on this circumference; these diameters must be perpendicular, forming a cross.
Once the diameters have been drawn, we will have four points where the line segments intersect the circumference. If these four points are joined, a square will result.
Diagonals are straight lines that are drawn from one angle to another that is opposite. In a square, two diagonals can be drawn. These diagonals will intersect at the midpoint of the square.
In the image, the dotted lines represent the diagonals. As you can see, these lines intersect exactly in the middle of the square..
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