Question

what additional information is needed to prove that the triangles are congruent?

Answer 1

you can use one of 4 rules:

ASA: Angle, Side, Angle - where the side is between the two angles

SAS: Side, Angle, Side - where the angle is between the two sides

SSS: Side, Side, Side - where the two triangles in question have all the sides the same length.

RHS: Right angle, hypotenuse, side

hope this helps!