6
910
Geometric Proof #1
4x = -24
Names: statements & Reasons Bank:
C
B
x + 18
3x + 25
Division P.O.E
4x + 43 = 19
Given: AC = 19
Prove: x = -6
gure not to sale
4x = 62
Statements
Reasons
Given
Segment Addition
Postulate
AC = 19
AB = x + 18
Definition of Midpoint
Definition of Congruent
Segments
Given
BC = 3x + 25
Given
Addition P.O.E.
x + 18 + 3x + 25 = 19
AB + BC = AC
AB = BC
Substitution
Combine Like Terms
Subtraction P.O.E.
x = -6
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