The worksheet focuses on proving segment relationships using properties such as equality, congruence, and postulates. Let's break down and confirm the answers, filling in the missing steps where necessary.

Part 1: Justify Each Statement

1. Q = Q
   Reason: Property of Equality (This is the reflexive property of equality, where any quantity is equal to itself.)

2. If AB ≅ BC and BC ≅ CE, then AB ≅ CE.
   Reason: Property of Congruence (This follows the transitive property of congruence: if two segments are congruent to a third one, they are congruent to each other.)

3. If Q is between P and R, then PR = PQ + QR.
   Reason: Postulate (This is the Segment Addition Postulate, which states that the sum of the parts equals the whole.)

4. If AB + BC = EF + FG and AB + BC = AC, then EF + FG = AC.
   Reason: Property of Equality (This is an application of the transitive property of equality.)

Part 2: Complete the Proof

Given: SU ≅ LR, TU ≅ LN.

Prove: ST ≅ NR.

1. SU ≅ LR, TU ≅ LN
   Reason: Given.

2. SU + TU = ST, LR + LN = NR
   Reason: Definition of congruent segments.

3. ST = NR
   Reason: Property of Equality (since both sides of the equation represent the sums of congruent segments).

4. **Substitute