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Intro to Algebraic Proofs
Contributed by: Miles
(Original author: Maynard)
1.  Which property is used to justify the following     statement?
                          ΔABC≅ΔABC
Substitution Property of ≅
Transitive Property of ≅
Reflexive Property of ≅
Symmetric Property of ≅
2.  Which property is used to justify the following     statement?
                    If a = b and b = c, then a = c.
Symmetric Property of =
Reflexive Property of =
Transitive Property of =
Substitution Property of =
3.  Which property is used to justify the following  statement?


                            If EF ≅ HG, then HG ≅ EF.
Symmetric Property of ≅
Reflexive Property of ≅
Transitive Property of ≅
Substitution Property of ≅
4.  Which property is used to justify the following statement?
           Let a = 5 and b = 16.             2ab = 2(5)(16) = 160.    
Substitution Property of =
Symmetric Property of =
Reflexive Property of =
Transitive Property of =
5.  Which property justifies the work from step 1 
     to step 2 below?
Step 1:  5x + 9 = 16
Step 2:  5x = 7
Subtraction Property of =
Multiplication Property of =
Division Property of =
6.  Which property justifies the work from step 1      to step 2 below?
Step 1:  7m = 63Step 2:  m = 9
Subtraction Property of =
Addition Property of =
Division Property of =
7.  Which property justifies the work from step 1      to step 2 below?
Step 1:  -8 + 6n = 4Step 2:  6n = 12
Multiplication Property of =
Addition Property of =
Division Property of =
8.  Which property justifies the work from step 1      to step 2 below?
Step 1:  -x = 15Step 2:  x = -15
Addition Property of =
Subtraction Property of =
Division Property of =
1.  4( x - 3 ) = 36
2.   4x - 12 = 36
3.   4x = 48
4.   x = 12
9.  Fill in the missing parts of the proof by dragging
     the justifications to the correct step of the proof.
steps
Addition Property of =
?
Division Property of =
?
Distributive Property
?
reasons
Given
Relexive Property of =
?
not used: 
10.  Fill in the missing parts of the proof by dragging      the justifications to the correct step of the proof.
1.  -6( x - 2 ) = 24
2.   -6x + 12 = 24
3.   -6x = 12
4.   x = -2
steps
Subtraction Property of =
?
Division Property of =
?
Distributive Property
?
reasons
Given
?
Associative Property of =
?
not used: 
3.   2x + 4x + 6 = 72
11. Complete the proof by dragging the reasons to the       correct step of the proof.
2.  m∡CAD+m∡DAB=m∡CAB
4.   6x + 6 = 72
5.   6x = 66
6.   x = 11
1. m∡CAB = 72
steps
Substitution Property of =
?
Subtraction Property of =
?
Angle Addition Postulate
?
Division Property of =
?
Simplify
?
reasons
Given
?
Transitive Property of =
?
not used: 
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