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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.)

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### 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

Justify each statement with a property of equality, a property of congruence, or a postulate. Complete each proof given: SU ≅ LR, TU ≅ LN. Prove: ST ≅ NR. Given: AB ≅ CD. Prove: CD ≅ AB.

Learn how to prove segment relationships in geometry using properties of congruence, equality, and postulates. This problem covers key geometric concepts, including the Segment Addition Postulate, the transitive property, and properties of congruence. Suitable for students in Grades 9-10.

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