Question

State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.
refer to attachment

Answer 1

In this We need one more side congruent because one is common i.e FG. It is the line which is Dividing it into two triangles. The property used here is SAS or Side-angle-side Property.

Answer 2

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.