• Clockwise from top left, the 2 lines are line script l and line m. 
• From bottom to top, point upper A and point upper B are on line script l. 
• From bottom to top, point upper E and point upper D are on line m. 
• The following line segments are drawn between line script l and line m:
  
  • Segment upper B upper E
  • Segment upper A upper D
• Segment upper A upper D intersects segment upper B upper E at point upper C.
• The intersections of the lines and line segments form triangle upper A upper B upper C and triangle upper D upper E upper C. 
  
  • Triangle upper A upper B upper C has a common vertex with triangle upper D upper E upper C. 
  • The common vertex is upper C. 
• Note: Figure not drawn to scale. 

In the figure, segment $AD$ and segment $BE$ intersect at point $C$. Segment $AD$ is perpendicular to line $\mathcal{l}$ at point $A$. Which of the following additional pieces of information is(are) sufficient to determine that triangle $ABC$ is congruent to triangle $DEC$?

1. Segment $AD$ is perpendicular to line $m$ at point $D$.
2. $AC=13$ and $DC=13$