Handbook - Tutorial - Problems about orthogonality and parallelism

Draw the perpendicular to a line
from a point of its

Line1 is the given line and A is the given point on the line itself.
Build the line Line1, using Line.
Build a circle Circle1 centered in A, using Circle with center point.
This circle intersects the line Line1 in two points D and E.
A is the middle point of DE.
Build two circles, with the same radius, building a segment-radius and using Circle with pt two pts, the first centered in D, the second centered in E.
These two circles intersect in two points O and N.
Build the line Line2 passing through A and O (or N), using Line.
This is the desired perpendicular to the line Line1.