Transitive Property of Equality Variation 2

Angle Symmetry Example 2

Collinear Angles Property 9

Transitive Property of Equality Variation 1

Angle Symmetry Example

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

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

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

Distance Property 3

Congruent Triangles to Distance

Two Angles Equal Then Isosceles

Equiangular Then Equilateral

Proof: Equiangular Then Equilateral

Let's prove the following theorem:

if m∠ZYX = m∠YZX, then distance XY = distance XZ

Proof:

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

Given

1	m∠ZYX = m∠YZX

Proof Table

#	Claim	Reason
1	distance XY = distance XZ	if m∠ZYX = m∠YZX, then distance XY = distance XZ (Two Angles Equal Then Isosceles)

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