Preliminary circle geometry question, please help! c: (1 Viewer)

[abdullion]

Prove that the bisector of the angles between the tangents drawn to a circle from an external point passes through the centre.

 

[integral95]

Use congruent triangles. (SAS)

Then use that to deduce that the sides in the circle are equal and thus must be the radii of the circle, making the point the centre.