Simple Geometry Question

Bashyboy

The question is "Is it ever correct to write [itex]\stackrel{\Large\leftrightarrow}{AB} = \stackrel{\Large\leftrightarrow}{CD}[/itex]. If so, what does that imply about A, B, C, and D.

I feel like this statement of equivalency would only be true in the circumstance that A and C were two different names for the same point, and this being similar for B and D. Is this accurate?

HallsofIvy

The statement "A= B" means "A and B represent the same object".

You statement says that [itex]{\Large\leftrightarrow}{AB}[/itex] and [itex]\stackrel{\Large\leftrightarrow}{CD}[/itex] represent the same line. That will be true if and only if C and D lie on the same line as A and B.