
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, the larger base is equal to the sum of the smaller base and the length of the altitude, and every diagonal is equal to the length of the smaller base plus half the altitude. Find the ratio of the smaller base to the larger base.
A) $\frac{1}{2}$
B) $\frac{\sqrt{5}}{2}$
C) $\frac{2+\sqrt{5}}{4}$
D) $\frac{2-\sqrt{5}}{2}$
E) $\frac{3-\sqrt{5}}{2}$

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