Answer:
The correct order is step 1 → 4 → 2 → 5 → 6 → 7 → 8 → 3 → 9
Step-by-step explanation:
1. [tex]\overline{FA}\cong \overline{FB}[/tex]
[tex]\overline{FA}\perp\overline{DB}[/tex]
[tex]\overline{FB}\perp\overline{AC}[/tex]
4. ∠FAB ≅ ∠FBA - In a triangle, angles opposite of congruent sides are congruent
2. [tex]\overline{AB}\cong \overline{AB}[/tex] - reflective property
5. ∠BCA is a right angle - Perpendicular lines for right angles
6. ∠ADB is a right angle - Perpendicular lines for right angles
7. ∠ADB ≅ ∠BCA - All right angles are congruent
8. ΔADB ≅ ΔBCA - AAS
3. ∠CAB ≅ ∠DBA- Corresponding part of congruent triangles are congruent (CPCTC)
9. [tex]\overline{EA}\cong \overline{EB}[/tex] - In a triangle sides opposite of congruent angles are equal.
