There are so many different shapes in the world, but do you know the difference between a square and a rhombus? In this blog post, we will explore the differences between these two shapes and provide examples of each. We hope that after reading this post, you will have a better understanding of these shapes and be able to identify them correctly!
What is a Square?
A Square is a plane figure with four equal straight sides and four right angles. It is also a rhombus and a rectangle. The opposite sides of a Square are parallel, and the adjacent sides are perpendicular. The diagonals of a Square intersect at right angles. A Square has rotational symmetry of order 4. The Square was first defined by ancient Greek mathematicians, and its name comes from the Latin word quadrus, meaning “four-sided.” The area of a Square is equal to the product of its two sides. The perimeter of a Square is equal to the sum of its four sides. A Square is a quadrilateral whose all four sides have equal length and all four angles have equal measure.
What is Rhombus?
A Rhombus is a four-sided figure in which all sides are equal in length. The opposite sides of a Rhombus are parallel to each other, and the Rhombus has two pairs of opposite angles that are equal to each other. A Rhombus is also a parallelogram, meaning that it has two pairs of opposite sides that are parallel to each other. The word “Rhombus” comes from the Greek word for “turning”, which is fitting because a Rhombus can be thought of as a turned square. A Rhombus is a simple geometric shape, but it has many important applications in math and science. For example, the Rhombus is used to describe the shape of many crystals, and it is also used in navigation and surveying. In short, the Rhombus is a versatile and important geometric figure.
Difference between Square and Rhombus
- A Square is a regular quadrilateral with four equal sides and four right angles. A Rhombus is a quadrilateral with four equal sides but opposite sides are not parallel. Therefore, all squares are rhombuses but not all rhombuses are squares. The main difference between Square and Rhombus is that Square has four right angles whereas Rhombus has no right angles. Both Square and Rhombus are parallelograms since they have two pairs of parallel sides. But the Square is a special type of parallelogram because it has four 90 degree angles or right angles. Both Square and Rhombus tessellate the plane. Square is a special case of Rectangle where all the four angles are 90 degrees.
- While in case of Rhombus, the opposite sides are parallel to each other but they make oblique angles with the adjacent sides. A Square always has two diagonals that intersect at their midpoint while a rhombus might or might not have intersecting diagonals at their midpoint. The area of a Square can be found by multiplying the length of any one side by itself while the area of a rhombus can be calculated by multiplying its base length by its height. The perimeter of both square and rhombus can be found by adding up all their four sides. Lastly, both these shapes have lines of symmetry passing through their midpoints.
- So, we can say that Square is a special type of Rhombus which has all its angles as 90 degrees while in case of rhombus the opposite sides are parallel to each other but make oblique angles with the adjacent sides. Both Square and Rhombus tessellate the plane but a Square always has two diagonals that intersect at their midpoint while a rhombus might or might not have intersecting diagonals at their midpoint.
- The area of a Square can be found by multiplying the length of any one side by itself while the area of a rhombus can be calculated by multiplying its base length by its height. Lastly, both these shapes have lines of symmetry passing through their midpoints. So, we can say that Square is a special type of Rhombus which has all its angles as 90 degrees while in case of rhombus the opposite sides are parallel to each other but make oblique angles with the adjacent sides.
Conclusion
The square and rhombus are two shapes with different properties. A square is a rectangle with four equal sides, while a rhombus has four sides that are not all the same length. Squares are often used to represent stability or security, while rhombuses can be seen as more dynamic shapes. In terms of area, a square is always larger than a rhombus of the same dimensions.
