The triangles AEB and DEC are congruent by the SAA congruence theorem
How to prove that the triangles are congruent?
The given parameters are:
- AE ≅ DE
- ∠A ≅ ∠D
- ∠AEB ≅ ∠DEC
The above parameters mean that:
- AE ≅ DE; Line segments AE and DE are congruent
- ∠A ≅ ∠D; Angles A and D are congruent
- ∠AEB ≅ ∠DEC; Angles AEB and DEC are congruent
Also, it means that two corresponding angles and one corresponding side on triangles AEB and DEC are congruent;
This represents the ASA congruence theorem.
Hence, ΔAEB and ΔDEC are congruent by the SAA congruence theorem
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