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| Construction - 8 |
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| To construct a perpendicular to a line at a point on it |
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| A line AB and a point O on it. |
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| A perpendicular to AB at O. |
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| (i) With O as centre and any suitable radius, draw arcs to cut AB at points S and T. |
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| (ii) Take radius equal to more than half the length of ST. |
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| (iii) With this radius, taking points S and T as centres, draw two arcs which intersect at point P. |
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| (iv) Join OP. |
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| (v) Then OP is the perpendicular to AB at O. |
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| (vi) \OP bisects AB, OA = OB. |
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