Question

two coplanar lines that never intersect are called parallel lines. what information, if any, should be changed in the previous sentence to correctly define parallel lines? the sentence needs to include that the lines extend in the same direction. the sentence does not need to be changed. the sentence needs to include that the lines share one common point. the sentence does not need to include the word coplanar.

Explanation:

The definition of parallel lines is "coplanar lines that never intersect." The given sentence already includes the key elements: coplanar and never intersecting. Adding "extend in the same direction" is redundant (non-intersecting coplanar lines imply consistent direction), sharing a common point contradicts non-intersection, and removing "coplanar" is incorrect (skew lines are non-intersecting but non-coplanar, so coplanarity is necessary). Thus, the sentence is correct as is.

Answer:

B. The sentence does not need to be changed.