Difference Between Square and Rhombus

A square and a rhombus are both types of quadrilaterals, but they have distinct characteristics that set them apart. Here are the key differences between a square and a rhombus:

Article continues below advertisement

1. Definition:

Square: A square is a quadrilateral with four equal sides and four right angles (90-degree angles).

Rhombus: A rhombus is a quadrilateral with four equal sides but does not necessarily have right angles.

2. Angle Measurements:

Square: All angles in a square are right angles (90 degrees).

Rhombus: The angles in a rhombus are not necessarily right angles. They can be acute (less than 90 degrees) or obtuse (greater than 90 degrees).

3. Symmetry:

Square: A square has both line and rotational symmetry. It has four lines of symmetry and rotational symmetry of order 4 (meaning it can be rotated by 90 degrees multiple times and still look the same).

Rhombus: A rhombus has only rotational symmetry of order 2 (meaning it can be rotated by 180 degrees and still look the same). It does not have line symmetry.

4. Diagonals:

Square: The diagonals of a square are equal in length and bisect each other at right angles.

Rhombus: The diagonals of a rhombus are unequal in length and bisect each other at equal angles but not necessarily right angles.

In summary, while both a square and a rhombus have four equal sides, the square has right angles and additional symmetry properties, whereas the rhombus does not necessarily have right angles and has fewer symmetry properties.

What is the Difference Between Square and Rhombus?

Here are the major differences between the square and Rhombus.

Properties	Square	Rhombus
Shape	Four equal sides	Four equal sides
Angles	Four right angles (90 degrees each)	Four equal angles (not necessarily 90 degrees each)
Diagonals	Two diagonals are equal in length and bisect each other at right angles	Two diagonals are equal in length and bisect each other at opposite angles
Symmetry	Has both rotational symmetry and reflection symmetry	Has only reflection symmetry
Special Properties	All sides and angles are congruent	Opposite angles are congruent; diagonals are perpendicular and bisect each other
Examples	Chessboard square, window pane	Diamond shape, kite shape

How is a Square Different from a Rhombus?

A square and a rhombus are both types of quadrilaterals, which means they have four sides. However, there are some key differences between the two shapes:

Article continues below advertisement

Side Lengths: In a square, all four sides are equal in length. Each side of a square is parallel to the opposite side, and the opposite sides are also parallel to each other. In a rhombus, all four sides are also equal in length, just like a square. However, the sides of a rhombus are not necessarily parallel to each other.

Angles: In a square, all four interior angles are right angles, which means they measure 90 degrees each. The sum of the interior angles in a square is always 360 degrees. In a rhombus, the opposite angles are congruent, meaning they have the same measure. However, the angles in a rhombus are not necessarily right angles.

Diagonals: In a square, the diagonals are always equal in length and bisect each other at right angles, dividing the square into four congruent right triangles. In a rhombus, the diagonals also bisect each other, but they are not necessarily perpendicular or equal in length.

To summarise, a square is a special type of rhombus where all sides are equal in length, and all angles are right angles. A rhombus, on the other hand, has all sides equal in length, but its angles are not necessarily right angles.

Is Square Bigger than Rhombus?

The size or area of a shape is determined by the length of its sides and its angles. Without specific measurements or constraints, it is not possible to determine whether a rhombus is bigger than a square or vice versa.

Article continues below advertisement

However, if we assume that the rhombus and the square have the same side length, then they would have the same area. This is because both shapes would have congruent sides, and the area of a polygon is determined by multiplying the length of a side by the perpendicular height from that side.

If the rhombus and the square have different side lengths, then the shape with longer sides would generally have a larger area. However, without specific measurements, we cannot determine which shape would be bigger.

In summary, the size of a shape depends on the lengths of its sides and its angles. Without specific measurements or constraints, we cannot determine whether a rhombus is bigger than a square.

Similarities of a Square and Rhombus

The square and rhombus are both quadrilaterals and share some similarities, although they are not exactly the same. Here are some similarities between a square and a rhombus:

Article continues below advertisement

Both are quadrilaterals: Both the square and the rhombus have four sides, making them quadrilaterals.
Congruent sides: Both shapes have sides that are congruent to each other. In a square, all four sides are equal in length, while in a rhombus, opposite sides are equal.
Opposite angles: The square and rhombus have opposite angles that are congruent. In a square, all four angles are right angles (90 degrees), while in a rhombus, opposite angles are equal.
Diagonals: Both the square and the rhombus have diagonals that bisect each other at right angles. The diagonals in a square are of equal length, while in a rhombus, they are unequal.
Symmetry: Both shapes possess some form of symmetry. A square has four lines of symmetry, dividing it into equal halves, while a rhombus has two lines of symmetry.

While these similarities exist, it's important to note that a square is a specific type of rhombus with additional properties (such as right angles), whereas a rhombus is a broader category that includes squares but does not necessarily have right angles.