Respuesta :

2. RS ≅ ST                                     Definition of midpoint.

4. RS ≅ XY                                     Transitive property of congruence.

explanation:

          Statement                                       reason

1) S is the midpoint of RT              Given

2) RS ≅ ST                                     Definition of midpoint.

3) ST ≅ XY                                     Given

4) RS ≅ XY                                     Transitive property of congruence.

2) Since RT is a line and the point S is the midpoint of line RT, then the point S is marked exactly at the mid of the line cutting it into two equal halves(Definition of midpoint). So, the measure of length RS = ST.

4) If RS is equal to the another line segment XY, then the measure of length RS is same for the length of line segment XY. (Transitive Property)