
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 curves $C_{1} \begin{cases} \overset{x=-4+\cos t}{y=3+\sin t}\end{cases}(t$ is the parameter), $C_{2}: \begin{cases} \overset{x=8\cos \theta }{y=3\sin \theta }\end{cases}(\theta$ is the parameter),  
(1) Convert the equations of $C_{1}$ and $C_{2}$ into standard form and explain what curves they represent respectively;  
(2) If the point $P$ on $C_{1}$ corresponds to the parameter $t= \frac {\pi}{2}$, and $Q$ is a moving point on $C_{2}$, find the minimum distance from the midpoint $M$ of $PQ$ to the line $C_{3}: \begin{cases} \overset{x=3+2t}{y=-2+t}\end{cases}(t$ is the parameter).

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