Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Which statement is NOT true?

A.  If two coplanar lines do not intersect, then the lines are parallel.
B. Two lines lie in one plane and do not intersect if and only if the two lines are parallel.
C. Two lines lie in one plane if and only if the lines are parallel.
D. If two lines are parallel, then they lie in one plane and do not intersect.

Sagot :

Pixie
C."Two lines lie in one plane if and only if the lines are parallel" is a wrong statement.
To lie in the one same plane, the two lines need not be parallel.
So, the answer is option C.

Answer:

A.  If two coplanar lines do not intersect, then the lines are parallel. This is true. Two lines are parallel lines if they are coplanar and do not intersect.

B. Two lines lie in one plane and do not intersect if and only if the two lines are parallel. This is true. Only parallel lines lying in a plane do not intersect.

C. Two lines lie in one plane if and only if the lines are parallel. This is false. Two lines in the same 3 d space which do not intersect need not be parallel. They are parallel only if they lie in a common plane. If not, they are called skew lines.

D. If two lines are parallel, then they lie in one plane and do not intersect. Yes this is true.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.