Transitive Property of Equality Variation 1
Divide Both Sides
Divide Both
Divide Distances
Transitive Property of Equality Variation 3
Collinear Angles Property C
Transitive Property of Equality Variation 2
Collinear Angles Property 10
Collinear Angles Property 3
Collinear Then Equal 2 Lines
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
Vertical Angles
Angle Addition Theorem
Collinear Angles Property 9
Collinear Angles B
Exterior Angle
Exterior Angle B
Collinear Angles Property 3 B
Collinear Angles Property 3 C
alternate interior angles then parallel
ParallelThenAIA
Parallel Then Aia 2
Vertical Angles C
Parallel Then Corresponding
Parallel Then Corresponding 2
Parallel Then Corresponding Short
Parallel Then Corresponding Short 3
Parallel Then Corresponding Short 3b
Parallel Transitive
Parallel Then Corresponding Short 2
Parallel Then Corresponding Short 4
Parallel Then Corresponding Short 4b
Angle Symmetry Example
Angle Symmetry 2
Similar Triangles
Divide Substitute
Transitive Property Application 2
Multiplication Property 2
Multiplicative Property of Equality Variation 1
Multiply by One
Divide Numerators
Divide Numerators 2
If Sas Then Similar Triangles
Intersects Third Side

Proof: Angle Symmetry Example

Let's prove the following theorem:

if m∠ABC = m∠XYZ, then m∠ABC = m∠ZYX

A B C X Y Z

Proof:

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

Given
1 m∠ABC = m∠XYZ
Proof Table
# Claim Reason
1 m∠XYZ = m∠ZYX m∠XYZ = m∠ZYX
2 m∠ABC = m∠ZYX if m∠ABC = m∠XYZ and m∠XYZ = m∠ZYX, then m∠ABC = m∠ZYX
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