Justify each statement with a property of equality, a property

Name _____________________________________
Acc Geometry Honors
Proving Segment Relationships 1
Justify each statement with a property of equality, a property of congruence or a postulate.
1. QA = QA
2. If AB  BC and BC  CE then AB  CE
3. If Q is between P and R, then PR = PQ + QR
4. If AB + BC = EF + FG and AB + BC = AC, then EF + FG = AC
1.
Given: M is the midpoint of AB
Prove: AM = ½AB
Statements
Reasons
C
B
2.
Given: AB  DE , BC  EF
Prove: AC  DF
Statements
F
E
A
D
Reasons
3.
Given: E is the midpoint of AB and CD.
AB = CD
Prove: AE  ED
Statements
Reasons