
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
By analogy with the property of "all three sides are equal, all three interior angles are equal" of an equilateral triangle in the plane, we can infer some properties of a regular tetrahedron as follows:  
\\(①\\) All edges are equal in length, and the angle between any two edges at the same vertex is equal;  
\\(②\\) Each face is a congruent equilateral triangle, and the dihedral angle between any two adjacent faces is equal;  
\\(③\\) Each face is a congruent equilateral triangle, and the angle between any two edges at the same vertex is equal.  
You think the most appropriate option is \_\_\_\_\_\_ .

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