Question

Two different lines lie in the same plane.

Which of the following criteria would be able to show-without any other information provided that the two lines are parallel?
Select all that apply.

A. The two lines have opposite slopes.

B. The two lines have equal slopes.

C. The two lines have reciprocal slopes.

D. The two lines are perpendicular to the same line.

E. The two lines are everywhere equidistant.

F. The two lines are not perpendicular.​

Answer 1

Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times. The symbol // is used to denote parallel lines.

how to prove that two lines are equal: If two lines are cut by a transversal and the alternate exterior angles are equal, then the two lines are parallel. Angles can be equal or congruent; you can replace the word "equal" in both theorems with "congruent" without affecting the theorem. So if ∠B and ∠L are equal (or congruent), the lines are parallel. therefore the answer is E. The two lines are everywhere equidistant.