Identifying parallel and perpendicular lines which statement is true regarding the parallel and perpendicular lines in the diagram?

Option (3) and (4) are correct .

w║n and n⊥m and w║n so  w⊥m

Step-by-step explanation:

In the given figure, we have a set of lines which are parallel and perpendicular.

Parallel lines are lines in same plane which when extended do not meet and are always same distance apart from each other.

Perpendicular lines are two non-vertical lines in the same plane intersect at right angles.

From the figure given,

w║n and n⊥m as angle between a and n is right angle that is ∠mxn = 90° (given)

Since, w║n so  w⊥m also both w and n shows same property as both are parallel lines.

Thus, option (3) and (4) are correct .