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Videos, worksheets, games and activities to help Geometry students learn about the properties of 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

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

(1) two pairs of parallel sides,

(2) four sides that are all congruent to each other,

(3) diagonals that bisect the angles, and

(4) diagonals that are perpendicular bisectors of each other.

The diagonals of a rhombus are perpendicular and bisect the angles of the rhombus

Students learn the formula for the area of a rhombus, and are asked to solve problems using this formula.

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