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# How to Construct a Square Using Compass and Ruler – Methods, Steps & Examples

December 28, 2022

This post is also available in: हिन्दी (Hindi)

A square is a 2D closed shape with four equal sides and four vertices. The measure of all four angles in a square is $90^{\circ}$ and its opposite sides are parallel to each other.

Let’s understand how to construct a square using a compass and ruler with steps and examples.

## How to Construct a Square Using Compass and Ruler?

A square is a quadrilateral with sides of equal length and angles of the same measure of $90^{\circ}$. There are two methods of constructing a square depending on the parameter known for construction. You can construct a square if

• length of a side is known
• length of a diagonal is known

### How to Construct a Square With a Given Side?

Since the length of each of the four sides of a square are equal and the measure of each of the four angles is $90^{\circ}$, therefore you can draw a unique square by knowing only the length of one side of a square.

The following are the steps to construct a unique square with a given side.
Step 1: Draw a line segment $\text{AB}$ of a given length.

## Conclusion

A square is a quadrilateral with sides of equal length and angles of the same measure. There are two methods of constructing a square depending on the parameter known for construction. You can construct a square if the length of a side is known or the length of a diagonal is known.