Answer with explanation:
In Δ S RT and Δ V RU
ST ║ UV
→ ∠U RV = ∠S RT⇒Vertically opposite angles
→∠RST=∠RVU→→Alternate interior angles as, ST ║ UV.
Also, ∠RU V=∠ R T S→→Alternate interior angles as, ST ║ UV.
Δ S RT ~ Δ V RU⇒[AAA]
When triangles are similar their sides are proportional.
[tex]\frac{SR}{RV}=\frac{TR}{RU}[/tex]
In Δ S RU and ΔTR V
∠ S RU = ∠TR V⇒Vertically opposite angles
[tex]\frac{SR}{RV}=\frac{TR}{RU}[/tex]
≡ Δ S RU ~ ΔTR V→→[S A S]
So, ΔS UR=ΔT V R , by SAS postulate
Option B
