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Simple Geometry Question

  • Thread starter Bashyboy
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  • #1
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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?
 

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  • #2
HallsofIvy
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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?
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.
 

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