Construction Of Square

In this lesson, the steps for constructing a square are explained with diagrams. To recall, a square is a quadrilateral and a polygon that has 4 vertices and 4 sides enclosing 4 angles. The sum of its interior angles is 360°. A quadrilateral, in general, has sides of different lengths and angles of different measures. However, squares, rectangles, etc. are special types of quadrilaterals with some of their sides and angles being equal. In this article, we will discuss the construction of this special quadrilateral, that is, the construction of squares.

Steps for Construction of Square

As mentioned, a square is a quadrilateral with sides of equal length and angles of the same measure. Let us say you are required to construct a square. The only dimension provided is the length of one of its sides, 5 cm. We know that the 4 interior angles of the square measure 90 degrees each. Hence, we do not require any other dimension for the construction of a square. All the sides are equal in measurement and are perpendicular.

The steps for square construction are as follows:

  • Step 1: Draw a line segment AB of 5 cm.

Construction of Square: Step 1

  • Step 2: Extend the line AB and using a compass, mark two arcs from B on the line. Mark the points as F and G.

Construction of Square: Step 2

  • Step 3: Mark arcs from points F and G above the line. The point where the arcs meet is named H.

Construction of Square: Step 3

  • Step 4: Join points B and H.

Construction of Square: Step 4

  • Step 5: Set the compass to a radius of 5 cm and mark the arc from points A and B. The point where the arc intersects BH is the vertex C of the square.

Construction of Square: Step 5

  • Step 6: With the same radius of 5 cm on the compass, mark an arc from the point C on the previously drawn arc above the point A. Mark their point of intersection as D.

Construction of Square: Step 6

  • Step 7: Join the points C and D as well as A and D to get the required square ABCD.

Construction of Square: Step 7

This was all about the square construction. Using these steps, the square of any dimensions can be constructed easily.

Access NCERT Solutions for Class 9 Maths Chapter 11 Constructions here.

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Construction Of Angles Construction Of Quadrilaterals
Triangle Construction Construction Of Parallel Lines
Construction Of Similar Triangles Constructions Class 9


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