
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 two lines $A\_1x+B\_1y+C\_1=0$ and $A\_2x+B\_2y+C\_2=0$, what is the necessary and sufficient condition for them to be perpendicular?

A) $\frac{A\_1A\_2}{B\_1B\_2}=-1$
B) $\frac{A\_1A\_2}{B\_1B\_2}=1$
C) $A\_1A\_2+B\_1B\_2=0$
D) $A\_1A\_2-B\_1B\_2=0$

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