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Find a counterexample. If two lines are parallel, then they do not intersect. A. If two lines do not intersect, they could be skew. B. If two lines are parallel, they may intersect twice. C. If two lines are parallel, they intersect once. D. The statement is true. There is no counterexample.

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JaysonL120

Answer:

The answer would be D.

Step-by-step explanation:

The statement is true. There is no counterexample. Parallel lines never intersect because they are parallel to each other. So, it is impossible for parallel lines to intersect. Hope that answers your question.

A counterexample is an example that is against or opposite the theory. They disapprove of the generalization. In math's counterexample is used to slightly abuse and refers to the example which shows the need to fully hypothesize a theorem.

  • Such as all prime numbers are odd numbers as number 2 is a prime number but is an even number hence contradictory.
  • As parallel lines are always at the same distance apart and never intersect.

Hence the correct option is B. If two lines are parallel, they may intersect twice.  

Learn more about the find a counterexample.

brainly.com/question/10940901.

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