Question

identifying types of lines in three dimensions. which are lines that will intersect? which are perpendicular lines? which are skew lines? a and b, a and c, b and d

Explanation:

Step1: Recall line - intersection concept

Intersecting lines meet at a point. In the given 3 - D figure, lines a and b are in the same plane and cross each other, so they intersect.

Step2: Recall perpendicular - lines concept

Perpendicular lines form a 90 - degree angle. There is no information given about the angle between the lines to determine perpendicularity from the figure.

Step3: Recall skew - lines concept

Skew lines are non - parallel and non - intersecting and lie in different planes. Lines b and d are in different planes and do not intersect and are not parallel.

Answer:

Which are lines that will intersect? a and b
Which are perpendicular lines? No information to determine
Which are skew lines? b and d