When two transversal lines intersect three parallel lines, and the segments formed by the first transversal line are in the ratio 3:4, find the ratio of the segments formed by the second transversal line.

Correct option is C

Given:

1. Two transversal lines intersect three parallel lines.

2. The segments formed by the first transversal line are in the ratio 3:4.

We need to find the ratio of the segments formed by the second transversal line.

Formula Used:

When two transversals intersect a set of parallel lines, the segments formed on each transversal are proportional.

Therefore, if the segments on one transversal are in a particular ratio, the segments on the other transversal will be in the same ratio.

Solution:

1. Since the segments formed by the first transversal are in the ratio 3:4, the parallel line property implies that the segments formed on the second transversal will also be in the same ratio.

2. Thus, the ratio of the segments formed by the second transversal line is 3:4.