1. Lesson 2 – 7 Proving Segment Relationships
Geometry
Lesson 2 – 7
Proving Segment Relationships
Objective:
Write proofs involving segment addition.
Write proofs involving segment congruence.

2. Postulate
Postulate 2.8
The points on any line or line segment can be put into one-to-one correspondence with real numbers.

3. Postulate Segment Addition Postulate
If A, B, and C are collinear, then point B is between A and C if and only if AB + BC = AC

4. Given:
Prove:

5. Complete the proof

6. Segment Properties of Congruence
Reflexive
Symmetric
Transitive

7. The route for a charity fitness run is shown
The route for a charity fitness run is shown. Checkpoint X and Z are the midpoints between the starting line and Checkpoint y and Checkpoint Y and the finish line F, respectively. If Checkpoint Y is the same distance from Checkpoint X and Z, prove that the route from Checkpoint Z to the finish line is congruent to the route from the starting line to the Checkpoint X.

8. Given:
Prove:
(Or substitution)

9. Homework
Pg , 2, 4, 30 – 36