QUESTION IMAGE
Question
error analysis describe and correct the error in the conditional statement. if two lines do not intersect, then they are parallel.
Step1: Identify the problem
The statement is missing a key condition.
Step2: Recall the correct concept
In three - dimensional space, non - intersecting lines may be skew. In a plane, non - intersecting lines are parallel.
Step3: Correct the statement
Add the condition of being in the same plane.
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The error is that the statement does not specify that the lines are in the same plane. The corrected statement is: If two lines are in the same plane and do not intersect, then they are parallel.