
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
Given that the coordinates of $C(-3, 0)$ are transformed to $C'(3, 0)$, and the coordinates of $D(0, 5)$ are transformed to $D'(0, -5)$, determine the type(s) of isometry that transforms the line segment $\overline{CD}$ onto the line segment $\overline{C'D'}$.

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