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Special case of a parallelogram
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- A rhombus is a special case of a parallelogram. In a rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles.
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A rhombus is a quadrilateral with all sides equal and opposite angles congruent. Learn the area and perimeter formulas, properties, examples and solved problems of rhombus with Byju's.
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A rhombus is a flat shape with 4 equal straight sides and opposite angles. Learn how to calculate its area, perimeter and diagonals, and see examples and interactive tools.
Illustrated definition of Rhombus: A flat shape with 4 straight sides of equal length. Also opposite sides are parallel and opposite angles are...
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A rhombus is a quadrilateral with four equal sides. Its opposite sides are parallel, and opposite angles are equal. We know that opposite sides of a parallelogram are equal, a rhombus is a special type of parallelogram with all sides equal. All rhombuses are parallelograms, but not all parallelograms are rhombuses.
The difference between a square and a rhombus is that all anglesof a square are right angles, but the angles of a rhombus need not be right angles. So, a rhombus with four right angles becomes a square. We can say, “Every square is a rhombus, but all rhombus are not squares.”
You can find rhombus shapes in various everyday objects around us, such as kites, finger rings, rhombus-shaped earrings, the structure of a window glass pane, etc.
Some of the important properties of a rhombus are stated below. 1. All sides of a rhombus are equal. Here, AB = BC = CD = DA. 2. Diagonalsbisect each other at 90°. Here, diagonals AC and BD bisect each other at 90°. 3. Opposite sides are parallel in a rhombus. Here, AB ∥ CD and AD ∥ BC. 4. Opposite angles are equal in a rhombus. ∠A = ∠C and ∠B = ∠D...
Example 1: The lengths of the two diagonals of a rhombus are 18 cm and 12 cm. Find the area of the rhombus. Solution: Diagonal (d1) = 18 cm Diagonal (d2) = 12 cm Area of rhombus =d1×d22=18×122 sq. cm =108sq. cm Example 2: Find the perimeter of the rhombus if one of its sides measures 15 cm. Solution: Length of a side of the rhombus (a) = 15 cm Peri...
A rhombus is a closed two-dimensional plane figure. It is considered a special parallelogram, and because of its unique properties, it gets an individual identity as a quadrilateral. A rhombus is also called an equilateral quadrilateral since all of its sides are equal in length.
Basic properties. Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides. Using congruent triangles, one can prove that the rhombus is symmetric across each of these diagonals. It follows that any rhombus has the following properties: Opposite angles of a rhombus have equal measure.
A rhombus is a four-sided geometric figure in which all four sides are of the same length and each of the two pairs of opposite sides are parallel to each other. It is a type of parallelogram. Its name comes from the Greek rhombos, meaning “a spinning top.”
