Algebra Den


[ Home ] [ My Account ] [ Contact ]
Arithmetic
Additive Identity
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
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
Order Relation
Standard Identities & their applications
Transpose
Cartesian System
Linear Equations
Probability
Polynomials
Geometry
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Polygons and its Types
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Basic Geometrical Terms
Parallelogram
Triangle
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Graphs
Median
Mode
Range
Frequency Distribution Table
Home >> Define Line, Line Segment and Rays >> Congruent Line Segments >>

Congruent Line Segments

Congruent Line Segment (compass)

Before you study this topic; you are adviced to study

What is Congruent / Congruence ?

When two line segments have same or equal length, they are said to be congruent.

The reverse of the above statement is also true:
“If two line segments are congruent, they have same length”.

Example: Below are two line segments PQ and AB:

Line Segment PQ:



Line Segment AB:



Now let’s place both line segments over each another and observe what happens:



We can see that both the line segments coincide over each other exactly.
Hence, we can say line segment PQ and PB are congruent

Or we can also write it as

PQ ≅ AB



Example 2: Below are two line segments XY and RS:

Line Segment XY:



Line Segment RS:



Now let’s place both line segments over each another and observe what happens:



We can see that both the line segments RS is longer in length than line segment XY and both does not coincide over each other exactly.
Hence, we can say line segment XY and RS are not congruent

Or we can also write it as
XY ≅ RS



Terms & Conditions

All rights reserved
Subscribe
&
Study More Algebra Topics