Question

question 25 of 25
in the diagram below, lines \\( \overleftrightarrow { a b } \\) and \\( \overleftrightarrow { c d } \\) are

a. skew
b. parallel
c. perpendicular

Explanation:

• Skew lines are non - parallel and non - intersecting lines in 3D space. Here, the lines are in 2D (as per the coordinate - like diagram), so option A is incorrect.
• Parallel lines have the same slope. The angle between parallel lines is \(0^{\circ}\) or \(180^{\circ}\). Here, the angle between \(\overleftrightarrow{AB}\) and \(\overleftrightarrow{CD}\) is \(90^{\circ}\), so option B is incorrect.
• Perpendicular lines intersect at a right angle (\(90^{\circ}\)). In the given diagram, the angle between \(\overleftrightarrow{AB}\) and \(\overleftrightarrow{CD}\) is \(90^{\circ}\).

Answer:

C. perpendicular