
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
Let points \(M\) and \(N\) be the midpoints of sides \(AB\) and \(CD\), and points \(K\) and \(L\) be the midpoints of diagonals \(AC\) and \(BD\), respectively.

Then \(MKNL\) is a rectangle (segments \(ML\) and \(KN\) are both equal to half of side \(AD\) and parallel to it as the midlines of triangles \(ADB\) and \(ADC\); similarly, the same statement holds for segments \(MK\) and \(LN\) and side \(BC\)). In particular, its diagonals are equal.

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