How Many Lines of Symmetry does a Square Have

Edited By Team Careers360 | Updated on Mar 21, 2023 10:17 AM IST

Introduction

Before answering the question about the number of lines of symmetry in a square, one should know what a line of symmetry is. We know that squares, rectangles, and rhombuses are types of parallelograms. Hence, when any line divides an object into two equal parts where both the parts are mirror images of each other, such a line is called a line of symmetry. The same concept is followed in types of parallelograms, i.e. when a line divides the square into two halves where both the halves of a square are mirror images of each other in this context, too, the line will be called a line of symmetry. There are 4 lines of symmetry in a square.

Lines of Symmetry

We know that all four sides of a square are equal, and it has a total of four lines of symmetry. In these four lines, two lines are the two diagonals of the square, and the other two are the square's bisectors. All four lines divide a square into two equal parts, which are mirror images of each other; hence, the square has four lines of symmetry. Moreover, the order of rotational symmetry in a square is similar to that of the number of lines of symmetry in a square.

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Frequently Asked Questions (FAQs)

1. How many lines of symmetry are in the square? Which are they?

There are four lines of symmetry in a square. In these four lines of symmetry, the two lines of symmetry are the two diagonals of a square, as both the diagonals divide a square into two identical parts, which are mirror images of each other. The other two lines of symmetry are the bisectors, or we can also say one horizontal line and one vertical line, which pass through the middle of the square.

2. What is a square? Explain in detail.

Square is one type of quadrilateral. All four sides of the square are equal in length, and all four angles of the square are also equal, and they are equal to 90°. Also, the square has two diagonals equal in length and bisect each other at 90°.

3. What is a line of symmetry? Give an example.

A line of symmetry is an imaginary axis that divides 2-dimensional objects and 3-dimensional objects into two identical halves, equal and mirror images of each other. For example, a square has four lines of symmetry.

4. What is the diagonal of a square?

When two opposite corners of a square are joined by a line that passes through the centre of the square, then such a line can be called a diagonal of a square.

5. Are rectangles and squares the same? If not, why?

No, rectangles and squares aren't the same. Because all the sides of a square are equal, but in a rectangle, two opposite sides are equal.

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