
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
On a sheet of paper, points \(A, B, C, D\) are marked. A recognition device can perform two types of operations with absolute precision: (a) measure in centimeters the distance between two given points; (b) compare two given numbers. What is the minimum number of operations that this device needs to perform to determine for sure whether the quadrilateral \(ABCD\) is a rectangle?

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