$ 3x + 20 Given T is the midpoint of SU. Prove x = 5 STATEMENTS REASONS 1. 1. Given 2. ST = TU 2. Definition of midpoint 3. ST = TU 3. Definition of congruent segments 4. 7x = 3x + 20 4. 5. 5. Subtraction Property of Equality 6. x = 5 6.

If T is the midpoint of SU, then ST has to be equal to TU
To prove that x=5, we have to equal both equations:
7x=3x+20
7x-3x=20
4x=20
x=20/4
x=5 ---> TRUE