
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
On a plane, points $A, B, C, D, E$ are marked such that triangles $ABC$ and $ADE$ are congruent: $AB = AD, AC = AE, BC = DE$. Then the point $E$ and the labels of points $B, C$, and $D$ were erased from the drawing.

Let the coordinates of point $E$ be $(x; y)$.

(a) (1 point) Indicate any possible value of $xy$.

(b) (3 points) Indicate all possible values of $xy$.

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