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4.8 - Copy

# 4.8 - Copy - 4-8 Theorems In The Form Of Hypothesis And...

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4-8 Theorems In The Form Of Hypothesis And Conclusion A) Every theorem is a statement that if a certain thing is true, then some thing else is true a. Theorem 4-3 i. If two angles are complementary, then they both are acute b. The if part of a theorem is called the hypothesis i. It states what is given c. The then part is called the conclusion i. It states what is to be proved on the basis of what is given d. Not all theorems have to be written in the hypothesis/conclusion form. e. Word of warning i. Don’t confuse the word if in if-then statements of postulates and theorems with stating if in definitions ii. In any definition, when two statements are connected by the word if, then the two statements are considered to be completely equivalent

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1. example) A point B is called a midpoint of a segment AC if B is between A and C and AB = BC B) Vertical Angles a. Two angles are

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