28. Given:
1
2
m
9
Prove:
m
18
Proof:
29. Given:
5
z
1
Prove:
z
6
Proof:
30. Given:
XZ
ZY
,
XZ
4
x
1, and
ZY
6
x
13
Prove:
x
7
Proof:
31. Given:
m
ACB
m
ABC
Prove:
m
XCA
m
YBA
Proof:
32. Given:
E
k
hf
W
Prove:
f
E
k
h
W
Proof:
33. Given:
m
ACB
m
DCE
Prove:
m
ACB
m
ACG
m
DCE
m
ECF
Proof:
Thus, all of the angle measures would be equal.
34.
Sample answer: Michael has a symmetric
relationship of first cousin with Chris, Kevin,
Diane, Dierdre, and Steven. Diane, Dierdre, and
Steven have a symmetric and transitive
relationship of sibling. Any direct line from
bottom to top has a transitive descendent
relationship.
35.
See students’ work.
36.
Sample answer: Lawyers use evidence and
testimony as reasons for justifying statements
and actions. All of the evidence and testimony is
linked together to prove a lawyer’s case similar to
a proof in mathematics.
Answers should include the following.
• Evidence is used to verify facts from witnesses
or materials.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Legal burden of proof, Transitive relation

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