### Home > INT2 > Chapter 8 > Lesson 8.4.1 > Problem 8-85

8-85.

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*AB*⊥*DE*and*DE*is a diameter of ⊙*C*, then*AF*≅*FB*. Examine his work below. Then complete his missing statements and reasons. Homework Help ✎**Statements****Reasons**1.

*AB*⊥*DE*and*DE*is a diameter of ⊙*C*.1.

2. ∠

*AFC*and ∠*BFC*are right angles.2.

3.

*FC*≅*FC*3.

4.

*AC*≅*BC*4. Definition of a circle (radii must be equal)

5.

5. HL ≅

6.

*AF*≅*FB*6.

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

1. Given

2. Definition of perpendicular

3. Reflexive Property

5. Δ*AFC*≅Δ*BFC*

6. ≅ Δ → ≅ parts