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Transitive Property of Equality Variation 2
Transitive Property of Equality Variation 3
Distance Property 4
Distance Property 1
Angle Symmetry Example 2
Collinear Angles Property 9
Transitive Property Application 2
Angles of an Isosceles Triangle
Angle Symmetry B
Isosceles Triangle Opposites
Proof: Angle Symmetry Example 2
Let's prove the following theorem:
if m∠
A
B
C
=
x
, then m∠
C
B
A
=
x
A
B
C
x
Proof:
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Try proving it
Given
1
m∠
A
B
C
=
x
Proof Table
#
Claim
Reason
1
m∠
A
B
C
=
m∠
C
B
A
m∠
A
B
C
=
m∠
C
B
A
(Angle Symmetry Property)
2
m∠
C
B
A
=
x
if
m∠
A
B
C
=
m∠
C
B
A
and
m∠
A
B
C
=
x
, then
m∠
C
B
A
=
x
(Transitive Property of Equality Variation 2)
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