Rhombus
A rhombus is a quadrilateral, which is a four-sided polygon, where all sides are congruent (of equal length)
A rhombus is a quadrilateral, which is a four-sided polygon, where all sides are congruent (of equal length). Additionally, the opposite sides of a rhombus are parallel to each other. In other words, a rhombus is a special type of parallelogram where all sides are equal in length.
The properties of a rhombus include:
1. All sides are congruent: This means that all four sides of a rhombus are of equal length. This property differentiates a rhombus from other quadrilaterals.
2. Opposite sides are parallel: The opposite sides of a rhombus are parallel. This property is shared with other parallelograms.
3. Opposite angles are congruent: The opposite angles of a rhombus are congruent. This property is also shared with other parallelograms.
4. Diagonals bisect the angles: The diagonals of a rhombus intersect at right angles and bisect the angles of the rhombus. This means that the diagonal divides the rhombus into four congruent right-angled triangles.
5. Diagonals are perpendicular bisectors: The diagonals of a rhombus are perpendicular to each other and also bisect each other. This means that the point of intersection of the diagonals is the midpoint of each diagonal.
6. Diagonals are equal in length: The diagonals of a rhombus are of equal length. This property is unique to rhombuses and is not found in other quadrilaterals.
It is worth noting that all squares are rhombuses (as they possess all the properties of a rhombus), but not all rhombuses are squares.
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