Consider triangles ADC and BEC.
1. BE⊥AC (statement
) and AD⊥BC;
CB≅CA (statement
)
Reason: Given.
2. ∠ADC (statement
) and ∠BEC are right angles.
Reason: Perpendicular lines form right (statement
) angles.
3. ∠BCE (statement
) = ∠ACD (statement
)
Reason: Reflexive Property of Congruence (statement
).
4. ΔADC≅ΔBEC (statement
).
Reason: HA Postulate (statement
).