Segments

 What is a proof ?

A logical argument that proves a statement is true/false is called as a proof.

What are the necessary parts of a good proof ?

The essential parts of a good proof are as follows:

• State the theorem to be proved.
• List the provided information.
• Draw the diagram to illustrate the given information.
• Stte whats to be proved.
• Develop a method to deductive reasoning.

Thus, the above said are the essential parts of good or best proof.

What is a two-column proof?

A proof that has numbered statements and reasons that exhibit the logical sequence of a debate is referred to as a two-column proof. In other words, a proof is the one that possesses statements with numbers and respective reasons to prove it.

What is a theorem?

A theorem is a true statement that follows as a result of other true statements.

What are the congruence properties of segment?

The three congruence properties of segment are as follows:

• Reflexive Property: For any segment BC, segment BC is congruent to segment BC.

  BC = BC

• Symmetric Property: If segment BC is congruent to segment DE, then segment DE is congruent to segment BC.

  DE = BC

• Transitive Property: If segment BC is congruent to DE and segment DE is congruent to segment FG, then segment BC is congruent to segment FG.

  BC = FG

Summary:

If the segments satisfy the above said properties, then they are said to be congruent.