Question

The total number of pairs of parallel and intersecting lines in the given figure is ______.

\( \forall \)

• A. $4$
• B. $6$
• C. $5$
• D. $7$

Answer 1

The correct option is B $6$

\( \forall \)
For each pair of intersecting lines, there is one point of intersection.
There are five points of intersections in the given figure, so five pairs of intersecting lines.
There is one pair of parallel lines, since they don’t intersect and are equidistant.
Hence, the required number is $5+1=6$.