Answer:
The correct option is;
ASA
Step-by-step explanation:
The given information are;
1. ∠A ≅ ∠D, 1. Given
2. , 2. Given
3. , 3. refl. prop.
4. ∠ABC ≅ ∠ DCB, 4. Alt int. ∠s are ≅
5. ΔABC ≅ ΔDCB, 5. Angle Side Angle ASA rule of congruency
The conditions for two triangles to be congruent includes;
1. All sides equal or SSS rule
2. Side Angle Side or SAS rule
3. Angle Side Angle or ASA rule
4. Angle Angle Side or AAS rule
5. Right angle Hypotenuse Side or RHS also known as Hypotenuse Leg, HL rule