In these lessons, we will learn
We will now show how to construct a perpendicular to a line segment, through a point on the line.
Construct a line perpendicular to PQ through the point R on PQ.
Step 1: Stretch your compasses a short length. It can be any length. Put the sharp end of the compasses on point R and mark two arcs S and T on the line PQ.
Step 2: Stretch the compasses a little more. Put the sharp end of the compasses on point S and make an arc with pencil end. Do the same on point T but make sure that the second arc intersects the first arc.
Step3: Draw a line from point R to the point where the arcs intersect. This line is perpendicular to PQ and passes through the point R.
We will now construct a perpendicular to a line, through a point not on the line.
Construct a line perpendicular to the line AB and passing through the point P, that is not on the line,
Step 1: Put the sharp end of your compasses on point P, stretch the compasses and mark two arcs R and S on the line AB.
Step2: Without changing the width of the compasses, put the sharp end of the compasses at R and draw an arc on the other side of AB compared with P. Do the same at S and make sure that the second arc intersects the first arc.
Step 3 : Draw a line from P to the point of intersection. This line passes through point P and is perpendicular to AB.
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