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Mathematics 21 Online
OpenStudy (quickstudent):

Which of the following is a valid reason for stating that line segment AB ≅ line segment AB? The symmetric property The reflexive property <--- Correct? The transitive property The multiplicative identity

OpenStudy (studygurl14):

Yep

OpenStudy (quickstudent):

Thanks!

OpenStudy (mathstudent55):

In this case, it is not the reflexive property. The reflexive property is a property of equality. It states, For any x, x = x. Here you are dealing with congruence, so this is really a theorem of congruence. Theorem: Congruence of segments is reflexive.

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