Question

1. given: \\( \angle d \cong \angle t, \angle e \cong \angle u, \overline{de} \cong \overline{ut} \\) name the postulate or theorem you can use to prove the triangles congruent. aas theorem sas postulate asa postulate sss postulate

Explanation:

The AAS (Angle - Angle - Side) Theorem states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent. In this problem, we have two pairs of congruent angles ($\angle D\cong\angle T$ and $\angle E\cong\angle U$) and a pair of congruent non - included sides ($\overline{DE}\cong\overline{UT}$).

Answer:

AAS Theorem