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Mathematica query

   I am currently working in Mathematica to develope few geometry 
demonstrations. Can two or more lines share same endpoints? Can any 
operations such as drag, move etc can be done on this shared point which 
makes corresponding changes in all those lines? Basically can any object 
be shared between different objects along with its properties? I hope my 
query is clear.
Please reply asap.

with regards,
MTech, CSE

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