Question

name two pairs of parallel lines in the figure.
a. ( m parallel k ) and ( n parallel l )
b. ( m parallel n ) and ( k parallel l )
c. ( m parallel k ) and ( n parallel k )
d. ( m parallel l ) and ( n parallel k )

Explanation:

Step1: Recall parallel lines definition

Parallel lines are lines that never intersect.

Step2: Analyze each option

• Option A: \(m\) and \(k\) intersect (they are crossed - by transversals in a non - parallel way), so \(m\parallel k\) is wrong.
• Option B: \(m\) and \(n\) are parallel (as indicated by the arrowheads in the same direction), \(k\) and \(l\) are parallel (as indicated by the arrowheads in the same direction).
• Option C: \(m\parallel k\) is wrong (they intersect in the figure's context of line - crossing), \(n\parallel k\) is wrong (they intersect).
• Option D: \(m\parallel l\) is wrong (they are crossed by transversals in a non - parallel way), \(n\parallel k\) is wrong (they intersect).

Answer:

B. \(m\parallel n\) and \(k\parallel l\)