1. Proving Statements about Segments
Textbook 2.5

2. Properties of Segment Congruence
Reflexive: For any segment AB, AB = AB.
Symmetric: If AB = CD, then CD = AB.
Transitive: If AB = CD, and CD = EF, then
AB = EF. ~ ~ ~ ~ ~ ~

3. Proof ~ ~ ~ Given UV = XY, VW = WX, WX = YZ Prove UW = XZ ~ STATEMENTS
REASONS ~ ~ ~
1. UV = XY, VW = WX, WX = YZ
Given
2. VW = YZ ~
Transitive Property of Segment Congruence
3. UV = XY, VW = YZ
Definition of Congruent Segments
4. UV + VW = XY + YZ
Addition Property of Equality
5. UV + VW = UW,
XY + YZ = XZ
Segment Addition Postulate
6. UW = XZ
Substitution Property of Equality
7. UW = XZ ~
Definition of Congruent Segments

4. Homework Page 105 – 107 6 – 18, 21, 22, 28 – 40 (even)
(You can work on this in class on Friday along
with the assignment given to the substitute.
We will answer questions on Monday, and
grade on Tuesday.)