Question

I am still stuck with this problem. Please dont answer if you dont know the answer

Answer 1

The correct order is step 1 → 4 → 2 → 5 → 6 → 7 → 8 → 3 → 9

Explanation:

1.
`\overline{FA}\cong \overline{FB}`

`\overline{FA}\perp\overline{DB}`

`\overline{FB}\perp\overline{AC}`

4. ∠FAB ≅ ∠FBA - In a triangle, angles opposite of congruent sides are congruent

2.
`\overline{AB}\cong \overline{AB}` - 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.
`\overline{EA}\cong \overline{EB}` - In a triangle sides opposite of congruent angles are equal.