ZA-SAMO 2009 Problem 2

Let $ABCD$ be a rectangle and $E$ the reflection of $A$ with respect to the diagonal $BD$ . If $EB = EC$ , what is the ratio $\frac{AD}{AB}$ ?

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.