Answer:
SAS
Step-by-step explanation:
Given,
DC || AB,
DC = AB
We have to prove that : triangles shown in the diagram are congruent.
Proof :
Since, in triangles ADC and ABC,
AC ≅ AC ( common segments ),
DC || AB
⇒ ∠DAC ≅ ∠ ACB ( By alternate interior angle theorem )
DC = AB ( given )
Hence, By SAS ( side - angle - side ) postulate of congruence,
Δ ADC ≅ Δ CAB,
Second option is correct.
