Arithmetic
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Algebraic Equation
Algebraic Expression
Cartesian System
Linear Equations
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Home >> Rhombus >>

## Rhombus

 Area of Rhombus Difference & Similarity between Rhombus & Rectangle Difference & Similarity between Rhombus & Square Difference & Similarity between Rhombus & Parallelogram Construction of Rhombus with Compass

• All sides are of equal length
• Opposite sides are parallel
• Opposite angles are of equal measure
• 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)