
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 parallelogram $ABCD$ with consecutive sides, the coordinates of points $A(-1,-1)$, $B(2,0)$, and $D(0,1)$ are known.
1. Find the coordinates of point $C$.
2. Let $E$ be the midpoint of segment $BD$. A line $l$ passes through $E$ and is perpendicular to $CD$. Find the equation of $l$.

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