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Look at the markers on the sides and at the angles.
∠ RSV ≅ ∠ TSV, ∠ R ≅ ∠ T, ∠ SVR ≅ ∠ SVT
RV ≅ TV, SV ≅ SV, SR ≅ ST
△ SVR≅△ SVT
To show that the two triangles are congruent, we can check for congruent angles and congruent sides.
Let's first check the angles.
∠ RSV &≅ ∠ TSV ∠ R &≅ ∠ T ∠ SVR &≅ ∠ SVT All angles in triangle △ SVR have congruent pairs in triangle △ SVT.
Now let's check the sides. Notice that SV is a shared side between both triangles which means its congruent according to the Reflexive Property of Congruence.
The markers on the sides tell us about the congruence relationships between the sides of the triangles. RV &≅ TV SV &≅ SV SR &≅ ST All sides of triangle △ SVR have congruent pairs in triangle △ SVT.
Since the vertices of the two triangles can be paired up so that the corresponding angles and sides are congruent, the two triangles are congruent. △ SVR ≅△ SVT