Transitive Property of Equality Variation 2

Angle Symmetry Example 2

Distance Property 2

Distance Property 1

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 Property 9

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

Angle Symmetry Example

Transitive With Four

Parallel Then Aia Short Mirror 3

Transitive Property Application 2

Angle Symmetry B

Parallel Then Aia Short Mirror

Angle Symmetry 4

If Parallelogram Diagonal Then Congruent Triangles

If Parallelogram Then Sides Congruent B

If Parallelogram Then Sides Congruent B2

Transitive Property of Equality Variation 3

Distance Property 5

If Parallelogram Inner Congruent

Distance Property 3

Congruent Triangles to Distance

Converse of the Supplementary Angles Theorem

Commutative Property Example 2

Commutative Property Variation 1

Substitution 2

Substitution 8

Substitution Example 10

Supplementary Then 180

Subtraction Example 2

Add Number to Both Sides

Congruent Triangles to Distance 3

Distance Property 6

If Diagonals Perpendicular Then Rhombus

Proof: Distance Property 6

Let's prove the following theorem:

if distance AB = distance CD, then distance CD = distance BA

Proof:

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

Given

1	distance AB = distance CD

Proof Table

#	Claim	Reason
1	distance AB = distance BA	distance AB = distance BA (Distance Equality Property)
2	distance CD = distance BA	if distance AB = distance CD and distance AB = distance BA, then distance CD = distance BA (Transitive Property of Equality Variation 2)

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