
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
There are points \( A, B, C, D \) marked on a piece of paper. A recognition device can perform two types of operations with absolute accuracy: a) measure the distance between any two given points in centimeters; b) compare two given numbers. What is the minimum number of operations needed for this device to definitively determine whether the quadrilateral \( ABCD \) is a rectangle?

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