Post #3

In this post I will explain how the properties of equality and the properties of congruence are pretty much the same thing and I will also compare deductive proof and conjecture using inductive reasonig. 

For two segments to be congruent, they have to have equal lengths. Both properties of equality and congruence can be applied here. 

Reflexive Property

Equality: segment AB = segment AB

Congruence:  segment AB ≅ segment AB

Symmetric Property

Equality:segment AB = segment BA

Congruence: segment AB ≅ segment BA

Transitive Property

Equality: segment AB= segment CD, segment CD = segment EF, segment AB=EF

Congruence:segment AB≅ segment CD, segment CD  ≅segment EF, segment AB≅EF

Deductive proof is facts used to show that something is true and a conjecture is just an opinion based on incomplete information. These statements were formed using inductive reasoning. 

In conclusion, properties of equality and congruence mean the same thing when it comes to segments. The difference between deductive proof and conjectures is that deductive proof is proved to be true while conjectures aren't proven to be true.