Transitive Property of Equality Variation 2

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

Vertical Angles C

Distance Property 2

Distance Property 1

Distance Property 3

Congruent Triangles to Distance 3

Angle Symmetry 4

Collinear Angles Property 10

Angle Symmetry Example 2

Collinear Angles Property 9

Angle Addition Theorem

Collinear Angles B

Exterior Angle

Exterior Angle B

Collinear Angles Property 3

Collinear Angles Property 3 B

Collinear Angles Property 3 C

alternate interior angles then parallel

Aiathenparallelshort

ParallelThenAIA

Parallelthenaiashort

Parallel Then Aia Short 2

Angle Symmetry B

Quadrilateral Parallel

If Congruent And Parallel Then Parallelogram

If Bisector Then Parallelogram

Proof: Angle Symmetry B

Let's prove the following theorem:

if m∠ABC = m∠XYZ, then m∠CBA = m∠XYZ

Proof:

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

Given

1	m∠ABC = m∠XYZ

Proof Table

#	Claim	Reason
1	m∠ABC = m∠CBA	m∠ABC = m∠CBA (Angle Symmetry Property)
2	m∠CBA = m∠XYZ	if m∠ABC = m∠CBA and m∠ABC = m∠XYZ, then m∠CBA = m∠XYZ (Transitive Property of Equality Variation 2)

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