Diagonals bisect each other at right angles.Adjacent angles in a rhombus are supplementary, they sum up to 180°.Here is a list of a few points that should be remembered while studying about rhombus: We get P = (4 × a) units, where a is the side of a rhombus. Just like a square, all four sides of a rhombus are equal, so, the formula for the perimeter of the rhombus is the product of the length of one side by 4. So, A = 1/2 × d 1 × d 2, where d 1 and d 2 are the lengths of the diagonals. It is half of the product of the lengths of the diagonals. The area of a rhombus can be defined as the amount of space enclosed or encompassed by a rhombus in a two-dimensional plane. The perimeter of a rhombus, P = 4 × a, where a is the side.Area of a rhombus, A = 1/2 × d 1 × d 2, where d 1 and d 2 are diagonals of a rhombus.The formulae for rhombuses are defined for two attributes: If you know the side of the rhombus and the value of certain angles, then you can determine the length of the diagonal. For example: if the length of a diagonal is 10 cm and the other diagonal bisects it, then it is divided into two 5 cm segments. One thing we should remember about the diagonal of a rhombus is that in addition to bisecting each other at 90°, the two diagonals bisected will be of the same length. Opposite angles are equal and the opposite sides are parallel. Here, diagonals DB and CA bisect each other at 90° The table below describes the properties of a rhombus.Īll sides of a rhombus are congruent (equal).ĭiagonals bisect each other at 90° or we can also say that each of the two diagonals in a rhombus is the perpendicular bisector of the other. The sum of any two adjacent or consecutive angles is 180°.Ī rhombus, like all geometric shapes, has properties that are unique to it.The opposite sides are equal and parallel.Opposite angles are congruent or equal.The general properties of a parallelogram are as follows: A rhombus is said to have reflection symmetry over both of its diagonals. It creates a mirror-like reflection of both sides of the object. Axis of symmetry can be considered as a line that divides an object into two equal halves. A rhombus has its two diagonals as its two lines of symmetry.
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