With a closed shape a rhombus is a two dimensional plane figure. It is also known as a special form of a parallelogram due to its unique properties, it does possess a unique identity in the form of a quadrilateral. The rhombus is also referred to as an equilateral triangle as all the sides turn out to be equal in length. Tracing the inception of the word rhombus it is from the Greek word Rhombus that would mean something which spins.
More about a rhombus
The rhombus is defined as a special parallelogram, since it suffices the needs of a parallelogram. It is a quadrilateral with a couple of pair of equal sides. Apart from this a rhombus would be having four equal sides, though it is still a form of parallelogram with four concurrent sides. So on all counts a rhombus fits into the properties of a parallelogram. The four sides would be of the same length as the opposite sides would be parallel.
Every rhombus that we are going to witness would be a parallelogram but conversely this is not going to be the case. A square would be a special case of a rhombus since it is four equal length sides. The angles of a square are right angles but the angles of a rhombus does not have to be right angles always. For this reason the rhombus with right angles would be squares. It is possible to arrive at the following conclusions
- All rhombus are parallelograms, but all parallelograms would not be squares
- All the rhombus would not be squares, but all squares are not rhombus.
The rhombus would be having additional names like lozenge, Rhomb and diamond.
Properties of a rhombus
A rhombus is a special form of a parallelogram, since it is known to have the properties of a parallelogram. The rhombus would be having a couple of diagonals, as a couple of lines of symmetry. In addition the axis of symmetry can be considered as a line which would be dividing an object into two specific lines. A rhombus would be having reflection symmetry over both the diagonals. Some of the general properties of a parallelogram are as follows
- The opposite angles would be equal or concurrent
- The opposite sides would be parallel or equal
- The diagonals would bisect each other.
- The sum of a couple of angles would equal to 180 degrees
A rhombus like most of the geometric shapes would be having properties that would be unique to it. You need to be aware that the diagonals of a rhombus apart from bisecting each other at 90 degrees, even the bisected diagonals would be of equal length. For example if a diagonal would be of 10 cm it would be split into 5 cms each. If you are aware about the side of a rhombus with the value of certain angles then it becomes easy to figure out the length of a diagonal
An area of rhombus is calculated by the area enclosed in a two dimensional space. Just like a square the four sides of a rhombus are equal. So the formula for the perimeter would be product of the length of one side would be equal to 4. Perimeter is P= 4 * side units as side would be the rhombus.
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