Respuesta :

Answer:

Proof with Statement and Reason is below.

Step-by-step explanation:

Given:

In The Figure

BF ⊥ AC,CE ⊥ AB

To Prove:

Δ ACE ≅ Δ ABF

Proof:

In Δ ACE and Δ ABF

STATEMENT REASONS

1. BF ⊥ AC,CE ⊥ AB Given

2. m∠ BFA = 90°,m∠ CEA = 90° { Perpendicular Lines BF ⊥ AC,CE ⊥ AB }

3. AE = FA                 Given

4. m∠ A = m∠ A       {Reflexive property}

5. Δ ACE ≅ Δ ABF   By AAS Congruence Postulate

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