1. 2.5 Proving Statements about Segments
Advanced Geometry

2. Theorem
A true statement that follows as a result of other true statements (All theorems must be proved)

3. Two-Column Proof
Numbered statements and reasons that show the logical order of an argument.

4. Theorem 2.1
Segment congruence is reflexive, symmetric, and transitive.

5. Symmetric Property of Segment Congruence
Given: PQ ≅ XY Prove: XY ≅ PQ X P Y Q

6. Using Congruence K
Given: LK = 5, JK = 5, JK ≅ JL Prove: LK ≅ JL J L

7. Using Segment Relationships
In the diagram, Q is the midpoint of PR. Show that PQ and QR are each equal to ½PR. R Q P