Properties of Rhombus
These lessons, with videos, examples and step-by-step solutions, help Geometry students learn about the properties of a rhombus.
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The following diagram shows the properties of a rhombus. Scroll down the page for more examples and solutions on using the properties of a rhombus.
What are the Properties of a Rhombus?
A rhombus is a quadrilateral and has all the properties of a quadrilateral
- 4 sides
- 4 vertices
- 4 angles that sum to 360°
A rhombus is a parallelogram and has all the properties of a parallelogram
- 2 sets of opposite parallel sides
- opposite angles are congruent
- consecutive angles sum to 180°
In addition, a rhombus has these special properties
- 4 congruent sides
- diagonals are perpendicular bisectors
- diagonals are angle bisectors
Apply the properties of a rhombus to solve problems
Rhombus Properties
Properties of rhombi often show up in geometric proofs and many other types of problems.
All parallelogram properties apply to rhombus properties since a rhombus is a type of parallelogram.
In a rhombus, there are
- two pairs of parallel sides,
- four sides that are all congruent to each other,
- diagonals that bisect the angles, and
- diagonals that are perpendicular bisectors of each other.
Properties of a Rhombus
The diagonals of a rhombus are perpendicular and bisect the angles of the rhombus
Area of a Rhombus - Geometry Help
Students learn the formula for the area of a rhombus, and are asked to solve problems using this formula.
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