Tyrone says that it is not possible to show that triangle ADE is congruent to triangle ACB. Lorenzo explains that since angle ADE is congruent to angle ACB and that ∠ A ≅ ∠ A by the Reflexive Property of Congruence, the triangles must be congruent. We want to find which of them is correct. To do so, let's think of statements to support both claims.
Tyrone is correct. The triangles are not the same size, so they are certainly not congruent.
Lorenzo is correct in noticing that the angles are congruent, but not correct in concluding that this means the triangles are congruent. The congruence of three angle pairs is not enough information to conclude the congruence of triangles.
Therefore, only Tyron is correct.
Extra
Congruent Figures
More information about congruent figures can be found on the following pages.
