Transitive Property of Equality Variation 2
Right Angle Reverse
Collinear Then 180
Converse of the Supplementary Angles Theorem
Commutative Property Example 2
Commutative Property Variation 1
Substitution 2
Substitution 8
Subtract Both Sides
Subtraction Example 2
Add Number to Both Sides
Add Number to Both Sides 2
Angle Symmetry Example 2
Transitive Property of Equality Variation 1
Distance Property 1
Distance Property 2
Distance Property 3
Congruent Triangles to Distance 3
Collinear Angles Property 9
Transitive Property Application 2
Angles of an Isosceles Triangle
Angle Symmetry Example
Angle Symmetry 2
Isosceles Triangle B
Collinear Angles Property 10
Collinear Angles Property 3
Collinear Angles Property 3 B
Collinear Angles Property 3 C
Propagated Transitive Property 3
Add Term to Both Sides 6
Subtract Both Sides 2
Add Term to Both Sides 7
Vertical Angles
Angle Addition Theorem
Collinear Angles B
Exterior Angle
Exterior Angle B
alternate interior angles then parallel
ParallelThenAIA
Parallelthenaiashort
Angle Symmetry B
Substitution Example 10
Substitute First Term
Triangles Sum to 180
Equality Example
If Two Angles Equal Then Three Angles Equal
Angle Angle Side Triangle
Angle Angle Side Triangle 2
Congruent Triangle Transitive Property
Hypotenuse And Leg Then Right Triangle Congruent
Bisector Angle

Proof: Propagated Transitive Property 3

Let's prove the following theorem:

if the following are true:
  • a = x
  • b = y
  • x = y

then a = b

Proof:

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

Given
1 a = x
2 b = y
3 x = y
Proof Table
# Claim Reason
1 a = y if x = y and a = x, then a = y
2 a = b if b = y and a = y, then a = b
Previous Lesson Next Lesson

Comments

Please log in to add comments