Verified answer

First: you need to know that coplanar lines are lines in the same plane.

Second: to to be sure that the lines in the same plane are not always parallel :

1- get a paper and a pencil.

2- draw any number of lines in all directions.

3- as you can see, you can draw perpendicular lines in the same plane (paper).

4- note that: the sides of paper are also perpendicular and found in the same plane.

conclusion: coplanar lines are not always parallel

coplanar means they are in the same plane

Are all lines in the plane parallel?

Imagine that the desk where you write is the plane, are all lines on table parallel?

No.

They may be parallel or intersecting

they could be in some cases but in almost all no

they can be but don't have to be, they only have to be on the same plane.

No, they can be intersecting