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A line of symmetry divides a shape into two matching parts, which will overlap each other exactly when folded along the line of symmetry.

 

Look at this isosceles trapezium.

Lines of symmetry

 

When we reflect or fold it in the line a, we get:

 

Reflect line a

 

When we reflect it in the line b, we get:

Reflect line b

This is a MATCH!

 

When we reflect it in the line c, we get:

 

Reflect line c

 

When we reflect it in the line d, we get:

 

Reflect line d

It is only in line b that we get a match.

So line b is the only line of symmetry.

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