Key Properties and Characteristics of a Rhombus | Understanding the Special Quadrilateral

All four sides are equal in length

When all four sides of a quadrilateral are equal in length, we refer to it as a special type of quadrilateral called a “rhombus

When all four sides of a quadrilateral are equal in length, we refer to it as a special type of quadrilateral called a “rhombus.” A rhombus is a parallelogram with all sides congruent, meaning that all four sides have the same length.

In addition to having equal side lengths, a rhombus also possesses other key properties. These include:
1. Opposite angles are congruent: The opposite angles of a rhombus are equal in measure. This means that if angle A is equal to angle C, then angle B is equal to angle D.
2. Diagonals bisect each other: The diagonals of a rhombus intersect at their midpoints. In other words, the line segment connecting the midpoints of the diagonals is perpendicular to each diagonal and bisects it.
3. Diagonals are perpendicular: The diagonals in a rhombus are always perpendicular to each other, forming four right angles where they intersect.

These properties make a rhombus a special and unique quadrilateral. Knowing that all four sides of a shape are equal in length allows us to identify it as a rhombus and use the properties associated with rhombi to solve problems or prove statements about the shape.

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