
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
Which isometry transformation correctly maps the line segment $\overline{CD}$ to $\overline{C'D'}$ if $C(3, -2)$ maps to $C'(-3, 2)$ and $D(2, -5)$ maps to $D'(-2, 5)$?
- Reflection in the $y$-axis
- Clockwise rotation around the origin by $180^{\circ}$
- Translation by 6 units to the left and 7 units up
- Reflection in the $x$-axis
- Counterclockwise rotation about the origin by $180^{\circ}$
A) Reflection in the $y$-axis
B) Clockwise rotation around the origin by $180^{\circ}$
C) Translation by 6 units to the left and 7 units up
D) Reflection in the $x$-axis
E) Counterclockwise rotation about the origin by $180^{\circ}$

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