Problem 40 of 7
Explain why perpendicular bisectors locate the circumcenter of triangle FGH.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
use equidistance from endpoints and vertices.
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Explanation must use equidistance from side endpoints and all vertices.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. State the perpendicular-bisector equidistance property.
2. Apply it to two sides of the triangle.
3. Conclude the intersection is equidistant from all three vertices.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying the point is centered by visual symmetry only.