Question

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

Answer 1

Option (2).

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.