1. Verifying Segment Relationships
2-5
Verifying Segment Relationships
Objectives:
To complete proofs using segment theorems.

2. Vocabulary

3. Theorem 2-1
Congruence of segments is reflexive, symmetric, and transitive.

4. Example 1

5. Example 2 Given Segment Addition Postulate Segment Addition Postulate
Substitution (=)

6. Example 3 Statements Reasons 1. Given 2. AB = XY, BC = YZ
2. Def.of congruent segments
3. AB + BC = XY + YZ
3. Addition Property (=)
4. AB + BC = AC
XY + YZ = XZ
4. Segment Addition Post.
5. AC = XZ
5. Substitution Property (=)
6. Def. of congruent segments

7. Homework
2-5 Worksheet