The relation between lines, "is perpendicular to," has a transitive property.

Question

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The transitive property states that if a relation holds between a first and a second element, and also holds between the second and a third element, then it must also hold between the first and the third element. For lines being perpendicular, if line A is perpendicular to line B, and line B is perpendicular to line C, this does not imply that line A is perpendicular to line C. Instead, lines A and C would be parallel, not perpendicular.

The Relation Between Lines, "Is Perpendicular To," Has a Transitive