Answer:
D
Explanation:
There are 5 ways to prove congruence:
1. SSS (3 sides)
Not applicable here
2. SAS (side-angle-side)
This requires a side, then an angle in between, and another side. This cannot be met with angles (as we currently have side-angle) so none of these are possible
3. ASA (angle-side-angle)
This is a side between angles, so if we squished line AC between angles C and A, and angle A=angle O, this would be true -- B is one answer
4. AAS (angle-angle-side)
Similar to option 3, but would be with angles T and G instead,
D is another answer
5. hypotenuse leg (only in right triangles)
The reason T and G fit AAS is because we hit angle T, then angle C, then side CA, all congruent with G, D, and DO in that order.