The true statements are: B, E, and F.
Explanation
- E (JK and LM are parallel) — True by the given information.
- B (JK and LM lie in the same plane) — True: by definition, parallel lines are coplanar (they lie in the same plane).
- F (JK and LM do not intersect) — True under the standard school definition of parallel lines: two distinct parallel lines in the same plane never meet.
Why the others are false:
- A (perpendicular) — False: perpendicular lines meet at a right angle; parallel lines do not meet, so they cannot be perpendicular.
- C (do not lie in the same plane) — False: that contradicts the coplanar nature of parallel lines.
- D (skew) — False: skew lines are non-coplanar and non-intersecting; parallel lines are coplanar, so they cannot be skew.
Note: If your course uses a broader definition that allows “parallel” to include the same line (coincident), then F would be false in the coincident case (they would intersect at every point). In most textbook/contest settings, “parallel” means distinct, nonintersecting coplanar lines, so B, E, and F are the intended true statements.