Question

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Answer 1

Answer:

1. $\overline {TU}$

2. Given

3. $\overline {RT}$  

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

Step-by-step explanation:

The two column proof is presented as follows;

Statement    ${}$                Reason

1.  $\overline {RS}$ ≅  $\overline {TU}$    ${}$            Given

2. $\overline {ST}$ ≅  $\overline {UR}$     ${}$           Given

3. $\overline {RT}$ ≅  $\overline {RT}$     ${}$           Reflexive property

4. ΔRST ≅ ΔTUR   ${}$      SSS rule of congruency${}$

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.