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Math·Geometry and Trigonometry·Lines, angles, and triangles

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In the figure, line $m$ is parallel to line $n$, and lines $AE$ and $CD$ intersect at point $B$. Which additional piece of information is sufficient to prove that triangle $ABC$ is congruent to triangle $EBD$?

A

$AB=12$ and $DB=12$.

B

$AB=12$ and $EB=12$.

C

Triangles $ABC$ and $EBD$ are isosceles.

D

No additional information is necessary to determine that the two triangles are congruent.