How many segments have the midpoint (2, -3).explain your reasoning.

Step-by-step explanation:

Given:

RUTS is a rectangle.

To prove:

∠USR ≅ ∠SUT

                  Statements                            Reasons

1. RUTS is a rectangle                   1. Given

2. RU = ST, UT = RS                      2. By the definition of a rectangle

3. ∠STU = ∠SRU = 90°                  3. Definition of a rectangle

4. ΔURS ≅ ΔSTU                           4. By the LL theorem of congruence

5. ∠USR ≅ ∠SUT                           5. CPCTC