We have the geometric form:
We have that:
I. ST ≅ VT
II. RT ≅ UT
The angle at the vertex T is the same for both triangles (vertical angles), then:
III. ∡UTV ≅ ∡STR
Using statements I, II, and III, we can conclude that ΔUVT ≅ ΔRST, because of the side-angle-side (SAS) theorem of congruence.