
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
For how many of the following types of quadrilaterals is there a point within the plane of the quadrilateral from which all corners are equidistant?

1. A square
2. A rectangle that is not a square
3. A kite that is not a rhombus
4. A general quadrilateral with no pairs of sides both equal and parallel
5. An equilateral trapezoid that is not a parallelogram
A) 1
B) 2
C) 3
D) 4
E) 5

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