1. Proving Segment Relationships
Chapter 2 Section 7

2. Remember…properties of segment congruence
Reflexive Property
AB ≅ AB
Symmetric Property
If AB ≅ CD, then CD ≅ AB
Transitive Property
If AB ≅ CD and CD ≅ EF, then AB ≅ EF

3. Postulate 2.9 Segment Addition Postulate
If three points A, B, and C are collinear and B is between A and C, then
AB + BC = AC

4. Using Segment Addition in Proofs
Segement Addition
Substitution
Distributive
Combine like terms
Subtraction
division

5. Proving Segments Given Def. of midpoint Substitution Subtraction
Division

6. Proving Segments In the figure, KM = 35.
Solve for x. Justify each step.
1. Segment Addition
2. Substitution
3. combine like terms
4. Addition
5. Division
1. KL + LM = KM
2. 2x x = 35
3. 4x - 5 = 35
4. 4x = 40
5. x = 10

7. Have a great day! 