Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

planes q and r are parallel. lines a and b are shown on planes q and r,…

Question

planes q and r are parallel. lines a and b are shown on planes q and r, respectively. which statement is true about lines a and b? they are parallel lines. they are perpendicular lines. they are skew lines. they will intersect.

Explanation:

Step1: Recall line - plane relationships

Parallel planes do not intersect. Lines on different parallel planes that are not parallel to each other are skew lines.

Step2: Analyze the given lines

Lines a and b are on parallel planes Q and R respectively. They are not in the same plane, so they cannot be parallel (parallel lines are in the same plane) or intersect (intersecting lines are in the same plane), and there is no indication of a right - angle relationship. So they are skew lines.

Answer:

They are skew lines.