Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

analyzing a statement marissa says that lines a and d will eventually i…

Question

analyzing a statement
marissa says that lines a and d will eventually intersect. is she correct? explain.
no, because they are parallel
no, because they are skew
yes, because they are perpendicular
yes, because they are on the same plane

Explanation:

Brief Explanations

Skew lines are non - parallel and non - intersecting lines that do not lie on the same plane. Lines \(a\) and \(d\) are not parallel (their directions are different as seen from the figure) and they do not lie on the same plane. So they cannot intersect. Parallel lines lie on the same plane and would never intersect if they are parallel, but these lines are not on the same plane. Perpendicular lines intersect at a right - angle, but these lines do not intersect. Just being on the same plane does not guarantee intersection (parallel lines are on the same plane and don't intersect), and these lines are not on the same plane.

Answer:

no, because they are skew