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8-85.
  1. A circle can be named by its center, as in circle C, or ⊙C at right. Larry started to set up a proof to show that if ABDE and DE is a diameter of ⊙C, then AFFB. Examine his work below. Then complete his missing statements and reasons. Homework Help ✎

  2. Statements

    Reasons

    1. ABDE and DE is a diameter of ⊙C.

    1.

    2. ∠AFC and ∠BFC are right angles.

    2.

    3. FCFC

    3.

    4. ACBC

    4. Definition of a circle (radii must be equal)

    5.

    5. HL ≅

    6. AFFB

    6.

Click the check boxes as they appear in order to complete the proof.

1. Given

2. Definition of perpendicular

3. Reflexive Property

5. ΔAFC≅ΔBFC

6. ≅ Δ → ≅ parts