
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
In the rectangular coordinate system $(xOy)$, a polar coordinate system is established with $O$ as the pole and the positive semi-axis of $x$ as the polar axis. The polar coordinate equations of the circle $C_{1}$ and the line $C_{2}$ are $ρ=4\sin θ$ and $ρ\cos (θ- \frac {π}{4})=2 \sqrt {2}$, respectively.

1. Find the rectangular coordinate equations of the circle $C_{1}$ and the line $C_{2}$.
2. Find the polar coordinates of the intersection points of the circle $C_{1}$ and the line $C_{2}$.

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