if two lines are coplanar, which of the following must be true
A: the lines intersect
B: the lines never intersect
C: the lines are coplanar
D: the lines share at least one point

Respuesta :

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

If two lines are coplanar, then lines should be parallel or they should intersect each other.

It means, perpendicular lines always intersect to each other but parallel lines never.

So, If the lines are perpendicular then it must intersect, other wise the lines never intersect.

so, the lines are coplanar.

Hence, Option 'c' is correct.

Option C is correct. If two lines are coplanar, then the lines are also coplanar.

  • Lines are known to be coplanar if they lie on the same plane.

  • Coplanar lines can never meet since they are on the same plane. We can therefore eliminate options A and D.

  • For option B, the line may intersect sometimes but not that they never intersect eliminating the option leaving only option C as the right answer.

We can conclude that if two lines are coplanar, then the lines are also coplanar.

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