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Transitive Property of Equality Variation 2
Distance Property 6
Congruent Triangles to Angles
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
Aiathenparallelshort
Congruent Triangles to Angles 2
Parallel Then Parallelogram
If Sides Congruent Then Parallelogram
Proof: Collinear Angles B
Let's prove the following theorem:
if m∠
A
B
C
=
180
, then m∠
C
A
X
= m∠
B
A
X
A
C
B
X
Proof:
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Try proving it
Given
1
m∠
A
B
C
=
180
Proof Table
#
Claim
Reason
1
m∠
B
A
X
=
m∠
C
A
X
if
m∠
A
B
C
=
180
, then
m∠
B
A
X
=
m∠
C
A
X
(Collinear Angles Property 9)
2
m∠
C
A
X
=
m∠
B
A
X
if
m∠
B
A
X
=
m∠
C
A
X
, then
m∠
C
A
X
=
m∠
B
A
X
(Symmetric Property of Equality)
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