If TV ≅ WV and UV ≅ XV, then which congruency theorem shows that ΔTUV ≅ ΔWXV ?

Option (2).

Step-by-step explanation:

In the figure attached,

Given : TV ≅ WV and UV ≅ XV

To prove: ΔTUV ≅ ΔWXV

                Statements                  Reasons

1). TV ≅ WV                              1). Given

2). UV ≅ XV                             2). Given

3). ∠XVW ≅ ∠TVU                  3). Reflexive property

4). ΔTUV ≅ ΔWXV                  4). SAS (Side - angle - side) property of                                                             congruence

Therefore, Option (2) will be the answer.