Given: RS tangent to circle k(O) at R, TU tangent to circle k(O) at T, SU tangent to circle k(O) at V, OS ⊥ OU . Prove: RS ∥ TU

Question

Given: 

RS

 tangent to circle k(O) at R, 

       

TU

 tangent to circle k(O) at T,

       

SU

 tangent to circle k(O) at V,

       

OS

 ⊥

OU

 .

    Prove:  

RS

 ∥ 

TU

  

Answer 1

Three basic steps:

RS ⊥ RT

TU ⊥ RT

RS || Tu