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 >> Angles >> Congruent Angles >>

Define Congruent Angles

Congruent Angles (compass)

Before you study this topic; you are adviced to read:

Define Congruent / Congruence
Define Rays and Line
Define Angles

When two angles have equal or same measure, they are said to be Congruent.

The reverse of the above statement also holds true:
“When two angles are congruent, they have equal or same measures”.

Example 1: Below are two angles: ∠ ABC and ∠ PQR:

∠ ABC is as follows:



∠ PQR is as follows:



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



We can see that both the angles coincide over each other exactly.
Note – To check congruency of two angles, we only check the measures of angles; not the length of their arms. Arms of the angle indicate the direction only.

Hence, we can say line segment ∠ ABC and ∠ PQR are congruent

Or we can also write it as

∠ ABC ≅ ∠ PQR:




Example 2: Below are two angles: ∠ XYZ and ∠ RST:

∠ XYZ is as follows:



∠ RST is as follows:



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



We can see that both the ∠ XYZ and ∠ RST does not coincide over each other, as arms YX of ∠ XYZ and arm SR of ∠ RST are in different direction, thereby by forming ∠ XYZ and ∠ RST of different measures.
Hence, we can say line segment ∠ XYZ and ∠ RST are not congruent

Or we can also write it as

∠ XYZ ≇ ∠ RST



Terms & Conditions

All rights reserved
Subscribe
&
Study More Algebra Topics