Math question (1 Viewer)

[Joshmosh2]

In circle geometry, if you are to draw some lines, for example, 3 parallel chords, would it be viable to construct one of your chords through the centre and use some of those properties?
OR
Is it that you can't assume that the parallel lines are through the centre, and therefore, all lines must not be through the centre

 

[Carrotsticks]

When proving an arbitrary result, you should avoid any potential 'special cases' such as what you've mentioned, which is drawing one of them through the centre.

This is because by drawing one of them through the centre, you could be proving a special case and then accidentally generalising it to all cases.