## Elementary Geometry for College Students (7th Edition) Clone

To prove the triangles congruent, use method ASA with the following pairs: 1) $\angle B\cong\angle E$ 2) $\overline{AB}\cong\overline{AE}$ 3) $\angle A\cong\angle A$ (by Identity)
Here we find that 1) $\angle B\cong\angle E$ 2) $\overline{AB}\cong\overline{AE}$ 3) $\angle A\cong\angle A$ (by Identity) So we have 2 angles and the included side of $\triangle ABC$ are congruent with 2 angles and the included side of $\triangle AED$. Therefore, according to method ASA, $\triangle ABC\cong\triangle AED$.