
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
In an isosceles trapezoid, where the larger base is equal to a diagonal and the smaller base is double the altitude, what is the ratio of the smaller base to the larger base?
**A)** $\frac{-1}{2}$
**B)** $\frac{1+\sqrt{7}}{2}$
**C)** $\frac{-1+\sqrt{7}}{2}$
**D)** $\frac{1+\sqrt{5}}{2}$
**E)** $\frac{-1+\sqrt{5}}{2}$

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