Understanding Rhombus | Properties, Formulas, and Real-Life Examples

Rhombus

A rhombus is a quadrilateral (a polygon with four sides) in which all four sides have equal length

A rhombus is a quadrilateral (a polygon with four sides) in which all four sides have equal length. In other words, it is a special type of parallelogram with equal sides.

Properties of a rhombus:
1. All sides are congruent: The four sides of a rhombus are equal in length.
2. Opposite angles are congruent: The opposite angles of a rhombus are equal in measure. This means that if one angle measures x degrees, then the opposite angle also measures x degrees.
3. Diagonals bisect each other: The diagonals of a rhombus intersect each other at right angles and divide each other into two equal parts.
4. Diagonals are perpendicular: The diagonals of a rhombus are perpendicular to each other, forming four right angles.
5. Diagonals are equal in length: The two diagonals of a rhombus are equal in length.

Formulas for a rhombus:
1. Area: The area of a rhombus can be calculated by multiplying the lengths of the diagonals and dividing by 2. A = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.
2. Perimeter: The perimeter of a rhombus is equal to four times the length of one side. P = 4s, where s is the length of one side.

Examples of real-life rhombus shapes include playing cards (e.g., diamonds) and road signs (e.g., yield signs).

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