Transitive Property of Equality Variation 2

Distance Property 1

Distance Property 2

Distance Property 3

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 2

Transitive Property of Equality Variation 1

Perpendicular to Angle

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

Altitudes Isosceles

Proof: Collinear Angles Property 9

Let's prove the following theorem:

if m∠ABC = 180, then m∠BAX = m∠CAX

Proof:

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

Given

1	m∠ABC = 180

Proof Table

#	Claim	Reason
1	m∠CBA = 180	if m∠ABC = 180, then m∠CBA = 180 (Angle Symmetry Example 2)
2	m∠BAX = m∠CAX	if m∠CBA = 180, then m∠BAX = m∠CAX (Collinear Points Property)

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