
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Give an example of triangles $ABC$ and $A_1B_1C_1$ such that $AB = A_1B_1$, $AC = A_1C_1$, $\angle ABC = \angle A_1B_1C_1$, but the triangles are not congruent.

This problem shows that in the criterion for the congruence of triangles "by two sides and the included angle," the words "included angle" cannot be omitted: if the angles opposite the two equal sides are equal, it does not guarantee the congruence of the triangles.

Present the answer in LaTex format: \boxed{Your answer}
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