Square

In Geometry we learn about different shapes which may be one-dimensional, 2-dimentional or 3-dimentional. The Basic Terms we must know in geometry are line segments. A Line Segment is formed by joining two points on a plane. It has only length & is thus 1-dimentional. But more than 2 points on a plane may or may not lie in the same line. If they lie in the same line, they are called Collinear Points. But, if they do not lie in the same line, they are called non-collinear points.

Collinear points lie in the same line, so any number of collinear points will always give only a single line. But non-collinear points joined together form some closed & some open figures, of which closed figures are called polygons. Thus, a Polygon is a closed figure formed by drawing three or more line segments. These line segments are the sides of the polygon. Thus, a polygon has at least 3 sides.  Depending upon the number of sides of polygons, they are given different names.


A polygon formed with 3 non-collinear points has 3 sides & is called a triangle, while one drawn with 4 non-collinear points is called a quadrilateral; 5-sided polygon is a pentagon & so on. 

On the basis of the properties of sides & angles, quadrilaterals are also put in different categories as square, rectangle, parallelogram, etc.        
Let’s try to know about squares. A square is a close polygon which shows the following properties:

1. It is a quadrilateral, i.e., it has four sides, 4 angles & 4 vertices.

2. All 4 sides are of equal length.

3. All angles of a square are right angles, i.e., 90 ̊ each.

4. Sum of all the angles of a square is 360 ̊.

In brief, a square is a quadrilateral in which all the four sides are equal & each angle measures 90 ̊.