Square with diagonals

In this picture, would the whole line AB be considered an edge, or only A

  • $\begingroup$ Can you please provide some more context to this question. The meaning of 'edge' changes within mathematics and either answer could be true based on context. $\endgroup$ – Ian Miller Jun 11 '16 at 3:36
  • $\begingroup$ Not to mention, I have never seen the notation AB to mean the union of two colinear line segments before. Your meaning is almost open to interpretation enough to be indecipherable. $\endgroup$ – fleablood Jun 11 '16 at 4:20

Here an edge is a line segment that joins two vertices, the only line segment here is AB. However, AB is not an edge, it is a diagonal because while it does join two vertices it passes through the interior of the square (keep in mind a square has just 4 edges).

  • $\begingroup$ Suppose the x was outside of a square. Would it still be considered an edge? $\endgroup$ – SuperNinja741 Does Gaming Jun 11 '16 at 3:33
  • $\begingroup$ What do you mean? AB would still be a diagonal if it passed through the exterior of the square. $\endgroup$ – Colbi Jun 11 '16 at 3:36
  • $\begingroup$ Ahhh I understand now @Colbi $\endgroup$ – SuperNinja741 Does Gaming Jun 11 '16 at 4:33

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