The correct options are options C and D;
1) Angle C is congruent to E
2) BA and FD are congruent
Here, we want to select the options that would prove that the triangles are congruent
We can get that from the markings on the diagram
As we can see from the question, we already have two sides being equal as we can see from the markings
Hence, we need an extra information to see through that the two triangles are indeed congruent
If the sides BA and FD are equal, it will simply mean that the three sides of the triangle are equal. In that case, the two triangles are congruent by SSS (side-side-side)
Also, if the angles C and E are congruent, we will have that the two triangles are similar by the SAS (side-angle-side)
So, the correct options are C and D
