Respuesta :

Answer:

1. [tex]\overline {TU}[/tex]

2. Given

3. [tex]\overline {RT}[/tex]  

4. Side-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The two column proof is presented as follows;

Statement    [tex]{}[/tex]                Reason

1.  [tex]\overline {RS}[/tex] ≅  [tex]\overline {TU}[/tex]    [tex]{}[/tex]            Given

2. [tex]\overline {ST}[/tex] ≅  [tex]\overline {UR}[/tex]     [tex]{}[/tex]           Given

3. [tex]\overline {RT}[/tex] ≅  [tex]\overline {RT}[/tex]     [tex]{}[/tex]           Reflexive property

4. ΔRST ≅ ΔTUR   [tex]{}[/tex]      SSS rule of congruency[tex]{}[/tex]

The Side-Side-Side rule of congruency states that if three sides of one triangle are congruent to three sides of another triangle then both triangles are congruent.