
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 the polar coordinate equations of circles $O\_1$ and $O\_2$ as $ρ=2$ and $ρ^{2}-2 \sqrt {2}ρ\cos (θ- \dfrac {π}{4})=2$, respectively.

(1) Convert the polar coordinate equations of circles $O\_1$ and $O\_2$ to rectangular coordinate equations.
(2) Find the polar coordinate equation of the line passing through the intersection points of the two circles.

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