Question

$ Given T is the midpoint of SU. Prove x = 5 3x + 20 STATEMENTS REASONS 1. 1. Given 2. ST = TU 2. Definition of midpoint W 3. Definition of congruent segments 3. ST = TU 4. 7* = 3x + 20 4. 5. 5. Subtraction Property of Equality 6. r = 5 6. 1. What should be the statement for Reason 1? SU = SU

Answer 1

The two column proof has shown that x = 5 by Division Property of equality,

How to solve the two column proof?

The two column proof to show that x = 5 is as follows:

Statement 1: T is the midpoint of SU

Reason 1: Given

Statement 2: ST = TU

Reason 2: Definition of midpoint

Statement 3: ST ≅ TU

Reason 3: Definition of congruent segments

Statement 4: 7x = 3x + 20

Reason 4: Substitution Property

Statement 5: 4x = 20

Reason 5: Subtraction Property of Equality

Statement 6: x = 5

Reason 6: Division Property of equality

Answer 2

In the images, we are given an exercise which is solved by taking T as the midpoint of SU. This is the