Question 1160145
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The resource from which this problem comes apparently uses the convention that, when talking about a line segment AB, the notation "AB" means the LENGTH of line segment AB.  So in this problem, given that "line segments AB and CD have the same length", the answer choices mean....<br>
1) AB = CD<br>
TRUE.  This statement says that the LENGTHS of the two segments are the same, which is what the given information says.<br>
2) Line segment AB = Line segment CD.<br>
FALSE.  This statement says the two LINE SEGMENTS are the same, which is not true.  Their lengths are the same; but they are not the same line segment.<br>
3) AB is congruent to CD<br>
FALSE.  This statement says the LENGTHS are congruent.  That is not using the vocabulary correctly.  It is correct to say that congruent line segments have the same length, or that their lengths are equal.  It is not correct to say the lengths are congruent.<br>
Said differently, line segments can be congruent, and their lengths can be equal; but their LENGTHS can't be CONGRUENT.<br>
4) Line segments AB and CD are congruent<br>
TRUE!!!!!<br>
Saying the two line segments are congruent is EXACTLY the same thing as the given information that they have the same length.<br>
I can't imagine ANY way to interpret the language which makes this one false....!<br>