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Commutative Property Example 2
Commutative Property Variation 1
Substitution 2
Substitution 8
Substitution Example 10
Substitute 2
Multiplicative Identity 2
Distributive Property 4
Multiplicative Property of Equality Variation 1
Addition Theorem
Transitive Property of Equality Variation 2
Double
Associative Property of Multiplication 2
Transitive Property Application 2
Substitution 10
Transitive Property of Equality Variation 1
Divide Both Sides
Multiplicative Property of Equality Variation 2
Transitive Property of Equality Variation 3
Division is Commutative
Associative Property
Substitution 12
Divide Simplify 2
Simplify 2
Multiply by 2
Substitution 11
Angle Symmetry Example 2
Angle to Self
Distance Property 1
Distance Property 2
Distance Property 3
Congruent Triangles to Distance 3
Medians of Isosceles
Proof: Angle Symmetry Example 2
Let's prove the following theorem:
if m∠
A
B
C
=
x
, then m∠
C
B
A
=
x
A
B
C
x
Proof:
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Try proving it
Given
1
m∠
A
B
C
=
x
Proof Table
#
Claim
Reason
1
m∠
A
B
C
=
m∠
C
B
A
m∠
A
B
C
=
m∠
C
B
A
(Angle Symmetry Property)
2
m∠
C
B
A
=
x
if
m∠
A
B
C
=
m∠
C
B
A
and
m∠
A
B
C
=
x
, then
m∠
C
B
A
=
x
(Transitive Property of Equality Variation 2)
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