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error analysis describe and correct the error in the conditional statem…

Question

error analysis describe and correct the error in the conditional statement. if two lines do not intersect, then they are parallel.

Explanation:

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.

Answer:

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.