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BD ≅ BD (Reflexive property). ∠CDB and ∠ADB are right angles (Definition of perpendicular). ∠CDB ≅ ∠ADB (All right angles are congruent). CDB ≅ ADB (SAS). AB ≅ CB (CPCTC). ∠B and ∠C are right angles because perpendicular lines form right angles. because all right angles are congruent. ∠AEB ≅ ∠DEC because vertical angles are congruent. ASA.
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