
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
Given two similar quadrilaterals, what can be said about the areas of the four rectangles formed by the pairs of opposite sides of each of the given quadrilaterals?

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