Answer: Option 1
Triangle DAC = Triangle EBC by ASA
Step-by-step explanation
ASA = angle side angle
The order is important because the side must be between the angles
- angle D = angle E leads to one of the "A"s of ASA.
- Angle ACD = angle BCE leads to the other "A" of ASA.
- The "S" of ASA in between those angles refers to CD = CE.
Since D = E, we know they pair up and are the first letters of DAC and EBC respectively. The next pairing would be A = B, and they represent the 2nd letters of DAC and EBC. Lastly C pairs with itself when talking about DAC and EBC.
This is why option 1 is the final answer.
The order is important when forming triangle congruences. Option 4 is a trick answer since the order is slightly off.