Distance Property 2
Transitive Property of Equality Variation 2
Distance Property 1
Angle Symmetry Example 2
Collinear Angles Property 9
Transitive Property Application 2
Angles of an Isosceles Triangle
Angle Symmetry Example
Angle Symmetry 2
Isosceles Triangle B
Angle Symmetry B
Collinear Then 180
Subtract Both Sides
Add Term to Both Sides 6
Subtract Both Sides 2
Add Term to Both Sides 7
Transitive Property of Equality Variation 1
Vertical Angles
Angle Addition Theorem
Collinear Angles B
Exterior Angle
Exterior Angle B
Collinear Angles Property 10
Collinear Angles Property 3
Collinear Angles Property 3 B
Collinear Angles Property 3 C
alternate interior angles then parallel
ParallelThenAIA
Parallelthenaiashort
Commutative Property Example 2
Commutative Property Variation 1
Substitution 2
Substitution 8
Substitution Example 10
Substitute First Term
Triangles Sum to 180
Multiplicative Identity 2
Distributive Property 4
Multiplicative Property of Equality Variation 1
Addition Theorem
One Eighty 3
Divide Both Sides
Multiplicative Property of Equality Variation 2
Transitive Property of Equality Variation 3
Division is Commutative
Associative Property
Divide Each Side
Three Angles
Parallel Then Aia Short Mirror
Angle Symmetry 4
If Parallelogram Diagonal Then Congruent Triangles
If Parallelogram Then Sides Congruent
Sides of Rhombus Congruent 3
If Parallelogram Then Sides Congruent B
If Parallelogram Then Sides Congruent B2
Sides of Rhombus Congruent
Distance Property 4
Sides of Rhombus Congruent 2
Distance Property 5
Equilateral Sides 3
Rhombus Diagonal Equilateral Triangles

Proof: Transitive Property Application 2

Let's prove the following theorem:

if the following are true:
  • a = b
  • a = c
  • b = d

then c = d

Proof:

View as a tree | View dependent proofs | Try proving it

Given
1 a = b
2 a = c
3 b = d
Proof Table
# Claim Reason
1 c = b if a = c and a = b, then c = b
2 c = d if c = b and b = d, then c = d
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