Question

Given: D ≅T, E ≅U, EO ≅UX.

Look at the figure. Name the postulate or theorem you can use to prove the triangles congruent

ASA Postulate
AAS Postulate
SAS Postulate
SSS Postulate

Answer 1

AAS Postulate

Explanation:

The named congruent parts are two angles (AA) and a side not between them (--S). The appropriate choice is the AAS Postulate.

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Since you are given two congruent angles, only the choices ASA or AAS make any sense. The SAS and SSS postulates require 2 and 3 sides congruent, respectively. The difference between ASA and AAS is whether the side is between the angles or not. Here, it is not.