Difference between Rhombus and Parallelogram
When it comes to geometry, many shapes can seem quite similar at first glance. Two shapes that are often confused are the rhombus and parallelogram. While they may look similar, there are several key differences between the two.
Definitions
A parallelogram is a four-sided shape that has two pairs of parallel sides. On the other hand, a rhombus is also a four-sided shape, but all of its sides are equal in length. Additionally, the opposite angles of a parallelogram are equal, while the opposite angles of a rhombus are not necessarily equal.
Properties
One of the main differences between a rhombus and a parallelogram is their properties. Because all of the sides of a rhombus are equal, it is also considered a type of square. Conversely, a parallelogram can have sides of different lengths and is not considered a square.
Another difference between the two shapes is the measure of their angles. Because a rhombus has four equal sides, its angles measure 90 degrees each. However, the angles of a parallelogram can measure anything from 0 to 180 degrees.
Uses
While the two shapes may seem similar, they are often used in different ways. A parallelogram is commonly used in construction, such as in the design of bridges, roofs, and buildings. This is because the shape is able to distribute weight evenly across its base due to its two pairs of parallel sides.
A rhombus, on the other hand, is often used in the design of jewelry or as a decorative element. Its equal sides and angles give it a pleasing, symmetrical appearance, making it a popular choice for decorative purposes.
In Summary
While both rhombuses and parallelograms share some similarities, there are several key differences between the two. A parallelogram is a four-sided shape with two pairs of parallel sides, while a rhombus has four equal sides. Additionally, the angles of a rhombus all measure 90 degrees, while the angles of a parallelogram can vary. Ultimately, understanding these differences can be helpful when it comes to geometry and the use of these shapes in various fields.
Table difference between rhombus and parallelogram
| Rhombus | Parallelogram | |
|---|---|---|
| Definition | A quadrilateral with all sides of equal length | A quadrilateral with opposite sides parallel |
| Angles | Opposite angles are equal | Opposite angles are equal, but not necessarily 90 degrees |
| Diagonals | Diagonals are perpendicular | Diagonals bisect each other |
| Special cases | A square is a special case of a rhombus with all angles equal to 90 degrees | A rectangle is a special case of a parallelogram with all angles equal to 90 degrees |