CPM Homework Help : INT2 Problem 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.

Hint:

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

Reason 1:

Reason 2:

Reason 3:

1. Given

2. Definition of perpendicular

3. Reflexive Property

Statement 5:

Reason 6:

5. ΔAFC≅ΔBFC

6. ≅ Δ → ≅ parts

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.