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(image of two triangles: △abc and △def with angle and side markings)
options:
○ △abc is not congruent to △def.
○ △abc ≅ △def using side - side - side triangle congruence postulate.
○ △abc ≅ △def using side - angle - side triangle congruence postulate.

Explanation:

Step1: Analyze triangle congruence criteria

Recall the Side - Angle - Side (SAS) congruence postulate: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Identify congruent parts in $\triangle ABC$ and $\triangle DEF$

• In $\triangle ABC$ and $\triangle DEF$:
• We can see that one pair of sides is marked as congruent (the sides with single tick marks), another pair of sides is marked as congruent (the sides with double tick marks), and the included angle between these two sides is $120^{\circ}$ in both triangles. So, two sides and the included angle of $\triangle ABC$ are congruent to two sides and the included angle of $\triangle DEF$.
• The SSS (Side - Side - Side) postulate requires three pairs of congruent sides, which is not the case here as we have two sides and an included angle. And since we have two sides and included angle congruent, the triangles are congruent by SAS, not non - congruent.

Answer:

$\triangle ABC\cong\triangle DEF$ using Side - Angle - Side triangle congruence postulate.