# How to prove that the circle will pass through the certain given points?

It is given , that AB=AC=AG. Now,if we draw a circle with centre A and AB as radius then,how should we prove that the circle will also pass through the points C and G?

• Isn't the circle the set of all points at a given distance from its center? – AdLibitum Jan 9 '17 at 19:01

The equation of the circle with center$(a, b)$ and radius $r$ is $(x-a)^2+(y-b)^2 = r^2$.