Perpendicular from a Point on to a Line

Year 9 Interactive Maths - Second Edition

Given a line AB and a point P that is not on the line, we adopt the following steps to 'drop' a perpendicular from P onto AB:
Step 1	Draw an arc with centre P and with a radius long enough to cut the line AB at two points, X and Y.
Step 2	Draw an arc centred at X using a radius that is more than half of the length of the interval XY.
Step 3	Using the same radius, draw an arc centred at Y to cut the arc drawn in Step 2, at Z.
Step 4	Join PZ.
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