Let's start by adding the given information to the diagram.
Since ∠ AFC and ∠ BFC are angles made by AB and DE, which are perpendicular, we know that they are both right angles.
Also, because △ AFC and △ BFC share FC as a side, we know that this side is congruent by the Reflexive Property of Equality.
The fourth statements says that AC≅BC because AC and BC are both radii of the circle.
With this information we can claim congruence between △ AFC and △ BFC by the HL (Hypotenuse Leg) Congruence Theorem. Since AF and FB are corresponding sides, we can finally claim that AF≅ FB. Let's complete the missing statements and reasons.
