Unveiling The Properties Of A Rhombus: A Complete Guide

Rhombus

A parallelogram with all four sides of equal length

A rhombus is a special type of quadrilateral in which all four sides are of equal length. It is also known as a diamond shape or a lozenge. It is a parallelogram in which opposite sides are parallel and the adjacent sides are perpendicular to each other. All four angles in a rhombus are equal and add up to 360 degrees. However, the opposite angles are not supplementary. The diagonals of a rhombus bisect each other at right angles, which means that they divide the shape into four congruent right triangles.

Properties of a rhombus include:

1. All four sides are of equal length.
2. Opposite angles are equal in measure.
3. Diagonals bisect each other at right angles.
4. The diagonals bisect the angles of the rhombus.
5. The area of the rhombus can be calculated as half the product of the diagonals.
6. The perimeter of the rhombus is calculated by multiplying one side by 4.
7. The rhombus has axis of symmetry – it has rotational symmetry of order 2.

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