To prove that VWZ ~ YXZ by SAS similarity theorem, which other side or angle should be used
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Answer: [tex]\angle{VZW}\cong\angle{WZX}[/tex]
Step-by-step explanation:
In Δ VWZ and ΔYXZ
[tex]\frac{VZ}{YZ}=\frac{WZ}{XZ}...........\text{[given]}\\\angle{VZW}=\angle{WZX}...........\text{[vertical angles]}[/tex]
Therefore, by SAS similarity criteria, ΔVWZ ≈ ΔYXZ
hence, we use [tex]\angle{VZW}\cong\angle{WZX}[/tex] to prove both the triangles similar.