Question

Given: DC||AB DC = AB

Answer 1

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.

Answer 2

The answer is SSS, because have angles in both sides include side D and B