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54. Given:
AB
5
CD
Prove:
AC
5
BD
Proof:
55.
m
/
6
5
180
2
35 or 145
56.
m
/
7
5
180
2
157 or 23
57.
m
/
8
5
180
2
90 or 90
58. Given:
/
1 and
/
2 form a linear
pair.
m
/
2
5
2(
m
/
1)
Prove:
m
/
1
5
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
5
2
6.
false;
a
52
4
7.
2
3
.
2 and 3
x
5
12 when
x
5
4.; false, because
p
is false and
q
is true
8.
2
3
.
2 or 3
x
5
12 when
x
5
4.; true, because
p
is false and
q
is true
9.
2
3
.
2, or 3
x
5
12 when
x
5
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.
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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