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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



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