Which congruence criterion can be used to state that $∆XOY\cong ∆POQ$?

Study the figure and information given below carefully and answer the following questions.

$CF$ and $AE$ are equal perpendiculars on $BD$ and $BF=FE=ED$.

$∆ABE$ is congruent to

Study the figure and information given below carefully and answer the following questions.

$CF$ and $AE$ are equal perpendiculars on $BD$ and $BF=FE=ED$.

$\angle$ $BAE=$_____.

$∆\mathrm{PQR}\cong ∆\mathrm{XYZ}$ by _____ congruence rule.