Question

consider line a and line c. then, choose the best description of the lines below.
two lines
a lines a and c will eventually intersect.
b lines a and c will eventually intersect at right angles.
c lines a and c are parallel lines.

Explanation:

Step1: Recall definitions

Parallel lines never intersect. Perpendicular lines intersect at right angles. Non - parallel, non - perpendicular lines intersect at non - right angles.

Step2: Analyze the lines

From the general properties of lines in a plane, if two lines are not parallel, they will intersect. There is no indication in the general description (since we assume the basic geometric principles) that these lines are parallel (as parallel lines have a constant distance between them which is not shown here) or that they are perpendicular (no right - angle symbol or indication of slope relationship for perpendicularity). So, they will intersect.

Answer:

A. Lines a and c will eventually intersect.