Question

1. Noah says, "I constructed 2 perpendicular bisectors of triangle ABC.
That means the point where they intersect is the circumcenter!" Andre
responds, "No, we still need to check the third perpendicular bisector
to make sure it intersects at the same point." Do you agree with either
of them? Explain or show your reasoning.

Answer 1

Answer:

Noah is correct

Step-by-step explanation:

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Given that the circumcenter is a point, and the intersection of two different lines define a point, the third bisector is not needed.