The construction of a tangent at a point on a circle without using the centre is based on
A. the Pythagoras theorem
B. the basic proportionality theorem
C. the converse of the tangent secant angle theorem
D. Apollonius' theorem
A. the Pythagoras theorem
B. the basic proportionality theorem
C. the converse of the tangent secant angle theorem
D. Apollonius' theorem
Best answer
Answer: C. the converse of the tangent secant angle theorem
We make the angle between the chord and the line equal to the inscribed angle in the alternate segment. By the converse of the tangent secant angle theorem, that line is a tangent.
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