54. Given:
AB
CD
Prove:
AC
BD
Proof:
55.
m
6
180
35 or 145
56.
m
7
180
157 or 23
57.
m
8
180
90 or 90
58. Given:
1 and
2 form a linear
pair.
m
2
2(
m
1)
Prove:
m
1
60
Proof:
Chapter 2
Practice Test
Page 121
1.
Sample answer: Formal is the twocolumn proof,
informal can be paragraph proofs.
2.
Sample answer: You can use a counterexample.
3.
Sample answer: statements and reasons to justify
statements
4.
true; Symmetric Prop.
5.
false;
y
2
6.
false;
a
4
7.
3
2 and 3
x
12 when
x
4.; false, because
p
is false and
q
is true
8.
3
2 or 3
x
12 when
x
4.; true, because
p
is false and
q
is true
9.
3
2, or 3
x
12 when
x
4 and an equilateral
triangle is also equiangular.; true, because
q
is true and
r
is true so
q
r
is true and
p
is false
10.
Hypothesis: you eat an apple a day; Conclusion:
the doctor will stay away; If you eat an apple a
day, then the doctor will stay away.
Converse: If the doctor stays away, then you eat
an apple a day.
Inverse: If you do not eat an apple a day, then the
doctor will not stay away.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Englishlanguage films, Trigraph, h. Substitution

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