
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
Which of the following conditions indicates that the prism is a right regular quadrilateral prism?

(1) The base is a square, and two of the side faces are rectangles.

(2) The base is a square, and two of the side faces are perpendicular to the base.

(3) The base is a rhombus, and three edges at one vertex are mutually perpendicular.

(4) Each side face is a congruent rectangle, forming a quadrilateral prism.

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