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

Parallel Then Aia Short Mirror

Angle Symmetry 4

Angle Symmetry Example

If Parallelogram Diagonal Then Congruent Triangles

If Parallelogram Then Sides Congruent B

If Parallelogram Then Sides Congruent B2

Square is Equilateral

If Parallelogram Then Sides Congruent

Transitive Property of Equality Variation 3

Distance Property 5

Square is Equilateral 2

Square is Equilateral 3

Proof: Distance Property 5

Let's prove the following theorem:

if distance AB = distance CD, then distance DC = distance AB

Proof:

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

Given

1	distance AB = distance CD

Proof Table

#	Claim	Reason
1	distance CD = distance DC	distance CD = distance DC (Distance Equality Property)
2	distance DC = distance AB	if distance AB = distance CD and distance CD = distance DC, then distance DC = distance AB (Transitive Property of Equality Variation 3)

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