
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 Cartesian coordinate system $xOy$, with the origin $O$ as the pole and the positive half-axis of $x$ as the polar axis, a polar coordinate system is established. It is known that the polar equation of curve $C_{1}$ is $\rho^{2}= \dfrac {2}{1+\sin ^{2}\theta}$, and the polar equation of line $l$ is $\rho= \dfrac {4}{ \sqrt {2}\sin \theta+\cos \theta}$.  
(Ⅰ) Write the Cartesian equations for curve $C_{1}$ and line $l$;  
(Ⅱ) Let $Q$ be a moving point on curve $C_{1}$, find the minimum distance from point $Q$ to line $l$.

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