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Question
is the following statement true or false? parallel lines intersect in two points. true false
Step1: Recall the definition of parallel lines
In Euclidean geometry, parallel lines are defined as lines in a plane that do not meet (i.e., they do not intersect) at any point, or they are coplanar straight lines that have no points in common.
Step2: Analyze the given statement
The statement says "Parallel lines intersect in two points". But from the definition, we know parallel lines do not intersect at all, let alone intersect at two points. So the statement is false.
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false