
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
Parallelogram $ABCD$ with points $A(2,5)$, $B(4,9)$, $C(6,5)$, and $D(4,1)$ is first reflected across the $x$-axis to $A'B'C'D'$, and then $A'B'C'D'$ is reflected across the line $y=-x$. Determine the coordinates of $C''$ after these reflections.

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