Answer:
C) A line perpendicular to a given line through a point not on a line.
Explanation:
In the given construction we draw a perpendicular line from a point which is not on line.
Please see the attachment for construction and naming of point.
- We are given a line s and point P which is not on line.
- Through point P we draw an arc on line which cut at two points A and B
- Now we open an compass and mark an arc through point A.
- Using same arc we cut the arc A through point B at point C.
- Now we join PC. Such that PC ⊥ to line s
Thus, C is correct option. " a line perpendicular to a given line through a point not on a line".