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Angle Symmetry Example
Proof: Angle Symmetry Example
Let's prove the following theorem:
if m∠
A
B
C
= m∠
X
Y
Z
, then m∠
A
B
C
= m∠
Z
Y
X
A
B
C
X
Y
Z
Proof:
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Try proving it
Given
1
m∠
A
B
C
=
m∠
X
Y
Z
Proof Table
#
Claim
Reason
1
m∠
X
Y
Z
=
m∠
Z
Y
X
m∠
X
Y
Z
=
m∠
Z
Y
X
(Angle Symmetry Property)
2
m∠
A
B
C
=
m∠
Z
Y
X
if
m∠
A
B
C
=
m∠
X
Y
Z
and
m∠
X
Y
Z
=
m∠
Z
Y
X
, then
m∠
A
B
C
=
m∠
Z
Y
X
(Transitive Property of Equality)
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