Thales' theorem

Thale's Theorem states that if there are three points on a circle, $A,B,C$ with $AC$ being a diameter, $\angle ABC=90^{\circ}$

$[asy] dot((5,0)); dot((-5,0)); draw(circle((0,0),5)); dot((3,4)); draw((5,0)--(3,4)); draw((-5,0)--(3,4)); draw((-5,0)--(5,0)); label("A",(-5,0),W); label("B",(3,4),NE); label("C",(5,0),E); [/asy]$

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Thales' theorem