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## Rhombus

All sides are of equal length

Opposite sides are parallel

Opposite angles are of equal measure

Adjacent Angles are supplementary

Diagonals are unequal

Diagonals bisect of each other at point of intersection

Diagonals are perpendicular to each other at point of intersection

** Observe the following diagram: **

In the above diagram of Rhombus ABCD:

AB, BC, CD and DA are sides

A, B, C and D are vertices

AC and BD are diagonals

O is the point of intersection of diagonals AC and BD

As per the properties of Rhombus, we have:

AB = BC = CD = DA (All sides are of equal length)

AB // CD & BC // DA (Opposite sides are parallel)

Angle BAD = Angle BCD & Angle ABC = Angle CDA (Opposite angles are of equal measure)

Angle BAD + Angle ABC = 180 degree , Angle ABC + Angle BCD = 180 , Angle BCD + Angle CDA = 180, Angle BAD + Angle CDA = 180 Degree (Adjacent Angles are supplementary)

AC is not equal to BD (Diagonals are unequal)

AO = OC & BO = OD (Diagonals bisect of each other at point of intersection)

Angle 1 = Angle 2 = Angle 3 = Angle 4 = 90 degree each (Diagonals are perpendicular to each other at point of intersection)

Area of Rhombus Difference & Similarity between Rhombus & Rectangle Difference & Similarity between Rhombus & Square Difference & Similarity between Rhombus & Parallelogram Construction of Rhombus with Compass
** Rhombus is a quadrilateral whose: **

In the above diagram of Rhombus ABCD:

AB, BC, CD and DA are sides

A, B, C and D are vertices

AC and BD are diagonals

O is the point of intersection of diagonals AC and BD

As per the properties of Rhombus, we have: