Square and Rhombus

There are many types of shapes in geometry. We deal with most of the shapes from our geometry notebook in real life. The clocks in our houses are circular; our rooms are rectangular; the glasses we use for drinking water are square. Some of these shapes bear similarities with each other.

A rectangle seems similar to a square. However, the properties of the square are more similar to those of a rhombus. A Square and a rhombus are a lot alike. They both have all sides with similar lengths. However, there are many points of difference between them. Let’s take a look at them.

Shapes in Geometry

Shapes in geometry are defined by their angles, boundary lines, and surfaces. There are various types of shapes. There are regular shapes and irregular shapes. There are flat shapes and closed shapes. There are also three-dimensional shapes. Some shapes share a lot of properties with each other.

The rhombus and square are examples of such shapes. Our clocks are square, the slices of cheese are square, and a chessboard is a square. Examples of a rhombus are kits, mirrors, and the baseball field. Let’s take a look at the properties of rhombus and square and their similarities and differences.

Rhombus

According to Euclidean geometry, a rhombus is defined as a type of quadrilateral whose sides are equal in length. A rhombus is supposed to have four sides, all of which should be equal in length. 

Since the shape of the diamond resembles so closely with the rhombus, the rhombuses are more commonly called diamonds. The rhombuses, which are called diamonds, are rhombuses with 60 degrees.

Every rhombus is non-self-intersecting. It is a special case of shapes: a kite and a parallelogram. A rhombus with all four angles as right angles is referred to as squares.

Characteristics of Rhombus

The diagonal of a rhombus bisects the interior angle

At least two consecutive sides are equal in length

Square

According to Euclidean geometry, a square is a type of regular quadrilateral whose all four sides are equal, and all four angles are right angles. A square is a shape that exhibits great symmetry. 

There are a few properties a quadrilateral has to follow in order to be termed as a square. Let’s take a look at them.

• The diagonals of the square should bisect its angles
• All four sides of a square should be equal in length
• All the diagonals of a square should be equal to each other

Differences between a Square and a Rhombus

A specific type of rhombus is termed a square. Let’s see what points of difference between a square and a rhombus are.

Equality of Angles

All the angles of the square are equal to each other. This means every angle in the square measures 90 degrees each.

The same isn’t true for a rhombus. Opposite angles in a rhombus are equal to each other, not all of them. And they do not have any fixed measure.

Lengths of Diagonals

The length of both the diagonals in a square is equal to each other. They are exactly the same length.

However, one diagonal of a rhombus is never equal to the other diagonal. If that happens, then that rhombus becomes a square.

Inscription in circle

A square is capable of being inscribed in a circle. However, a rhombus cannot, in any case, be inscribed in a circle.

Lines of Symmetry

The lines of symmetry inside a square are four. The lines of symmetry inside a rhombus are exactly half of that square, that is, two.

Perpendicular of Sides

Any two sides of any given square are always perpendicular to each other.

Any two sides of a rhombus are not necessarily similar to each other.

Area calculation

Suppose “a” is the length of the side of the square, then the area of the square will be square of “a.” Area of the square can be calculated with side length.

Suppose d1 and d2 are lengths of diagonals of a rhombus, then the area of the rhombus will be on behalf of the product of the two diagonals. Length of diagonals helps in the area calculation of a rhombus.

Conclusion

These were the points of difference in a square and a rhombus. They have different formula to measure the area and perimeter.