Question

triangles efg and xyz are shown below. which of these statements follows from the information given in the figure? △efg≅△xyz by side - side - side triangle congruence. △efg≅△xyz by side - angle - side triangle congruence. △efg≅△xyz by angle - side - angle triangle congruence. △efg is not necessarily congruent to △xyz.

Explanation:

Step1: Identificar elementos congruentes

Observamos que en los triángulos EFG y XYZ, tenemos un ángulo congruente (\(\angle E=\angle X\)) y un lado congruente (\(EF = XY\)).

Step2: Analizar criterios de congruencia

El criterio Side - Angle - Side (SAS) requiere dos lados y el ángulo comprendido entre ellos congruentes. Aquí solo tenemos un lado y un ángulo congruentes, no cumplimos con los criterios Side - Side - Side (SSS), Side - Angle - Side (SAS) o Angle - Side - Angle (ASA).

Answer:

\(\triangle EFG\) is not necessarily congruent to \(\triangle XYZ\).