The construction illustrated in the figure is that of a line parallel to
through point N.
Given: Figure containing illustration of the construction
To find: The construction illustrated in the figure
It can be seen that the figure contains a straight line passing through H and J, a straight line passing through H and N, and a straight line passing through N which seems to be parallel to
.
The figure also contains arcs made by a compass that measures the angle between
and
. These arcs have been replicated at the point N on the straight line
.
This implies that the straight line through N has been constructed in such a way, so that the angle between that straight line and
is equal to the angle between
and
. This makes these angles, corresponding angles and
as the transversal. Thus, the new straight line is constructed parallel to
.
A strong counterargument that this illustration is not that of a line perpendicular to
through point N is that the figure does not contain any straight line perpendicular to
.
Thus, the construction illustrated in the figure is that of a line parallel to
through the point N.
Learn more about construction of parallel lines here:
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