What properties are these? 1. if PQ = PQ, then line PQ≅line PQ.
4. If RS = TU, then RS + XY = TU + XY
5. If AB = DE, then DE =AB
6. If Y is the midpoint of line XZ, then XY = YZ
7. if line FG ≅ line HI and line HI ≅ line JK, then line FG ≅ line JK
8. If AB+CD=EF+CD, then AB=EF
9. If PQ+RS=TV and RS=WX, then PQ+WX=TV
10. If LP=PN, and L, P, and N are collinear, then P is the midpoint of line LN
11. If line UV ≅ line UV, then UV=UV

Property bank:
Addition Property Of Equality
Multiplication Property Of Equality
Division Property Of Equality
Distributive Property Of Equality
Substitution Property Of Equality
Symmetric Property Of Equality
Transitive Property Of Equality
Reflexive Property Of Congruence
Symmetric Property Of Congruence
Transitive Property Of Congruence
Definition of Congruence
Definition of Midpoint