[Math] How to prove that the circle will pass through the certain given points

circles

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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?

Best Answer

What is the definition of circle in your geometry book?

It is going to be something like, "A circle is the set of all points a given distance from the center."

C,G are the given distance from the circle. They lie on circle A by definition.

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