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(Theorem 1-1)
Midpoint theorem: If M is the midpoint
of AB then AM = MB
v
Proof of
theorem 1-1:
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vGiven
that M is the midpoint of AB, write a paragraph proof to
show that AM = MB.
A
proof: is a
logical argument in which each statement you make is backed up by
a statement that is accepted as true.
Paragraph
proof or informal proof: a
paragraph that explains why a conjecture for a given situation
is true.
Conjecture:
is an educated guess.
Paragraph
proof of theorem 1-1
From the
definition of midpoint of a segment, we know that AM = MB.
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That means
that AM and MB have the same measures
By
the definition of congruence,
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if AM and MB
have the same measure, they are congruent segments.
Thus,
AM @
MB
