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48 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 43
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 ifthen
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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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
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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State University.
 Spring '09
 Johnson
 Algebra

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