Question

Determine whether the conditional and its converse are both true. If both are true, combine them as a biconditional. If either is false, provide a counterexample.

If two lines are parallel,they do not intersect.
If two lines do not intersect, they are parallel.
a)Both statements are true. Two lines are parallel if and only if they do not intersect.
b)Both statements are true.Two lines are not parallel if and only if they do not intersect.
c)One statement is false.If two lines do not intersect, they could be skew.
d)One statement is false.If two lines are parallel, they may intersect twice.

Answer 1

i thought it was c ??

Answer 2

@ziko1995 ^

Answer 3

If both lines lie in the same plane then the answer would be

Both statements are true. Two lines are parallel if and only if they do not intersect.

If both lines do not lie in the same plane then the answer would be

One statement is false. If two lines do not intersect, they could be skew.

Answer 4

soo what would it be for this one thats what had me confused ??

Answer 5

One statement is false. If two lines do not intersect, they could be skew. is the correct answer . So the answer is C .