Question

if ab is parallel to cd, which statement must be true? a. the perpendicular distance between ab and cd increases as the lines are traversed left to right. b. the perpendicular distance between ab and cd decreases as the lines are traversed right to left. c. ab and cd do not intersect. d. ab and cd intersect at 90° angles.

Explanation:

Step1: Recall parallel - line property

Parallel lines never intersect and the perpendicular distance between two parallel lines is constant throughout their length.

Step2: Analyze each option

• Option A: The perpendicular distance between parallel lines does not increase as lines are traversed left - to - right. It is constant.
• Option B: The perpendicular distance between parallel lines does not decrease as lines are traversed right - to - left. It is constant.
• Option C: Parallel lines do not intersect. This is a correct property of parallel lines.
• Option D: Lines that intersect at 90° are perpendicular, not parallel.

Answer:

C. AB and CD do not intersect.