H is the circumcenter, or point of concurrency, of the perpendicular bisectors of ΔACE. Triangle A C E is shown. Point H is the circumcenter of the triangle. Lines are drawn from each point of the triangle to point H. Lines are drawn from point H to the sides of the triangle to form right angles. Line segments H B, H F, and H D are formed.
Which statements must be true regarding the diagram?

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