Given: A circle with centre O and a point P on it.
To construct : the tangent to the circle at the point P.
Steps of construction :
(i) Join OP.
(ii) Draw a line segment AB ⊥ OP at the point P. APB is the required tangent at P.
Steps of construction :
(i) Draw any chord PQ and join P and Q to a point R.
(ii) Draw ∠QPA equal to ∠PRQ on opposite side of chord PQ.
The line segment BPA is the tangent to the circle at P.