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17.
Invalid;
E
,
F
, and
G
are not necessarily
noncollinear.
18.
Invalid; the hypothesis is false as there are only
two points.
19.
Valid; the vertices of a triangle are noncollinear,
and therefore determine a plane.
20.
no conclusion
21.
If the measure of an angle is less than 90, then it
is not obtuse.
22.
If
X
is the midpoint of
Y
w
Z
w
,then
Y
w
X
w
>
X
w
Z
w
.
23.
no conclusion
24.
p
:you are an inline skater
q
: you live dangerously
r
: you like to dance
Yes, statement (3) follows from (1) and (2) by the
Law of Syllogism.
25.
p
:the measure of an angle is greater than 90
q
:the angle is obtuse
Yes, statement (3) follows from (1) and (2) by the
Law of Detachment.
26.
Invalid; statement (1) is true, but statement (3)
does not follow from (2). Not all congruent angles
are vertical angles.
27.
p
:an angle is obtuse
q
:the angle cannot be acute
Yes, statement (3) follows from (1) and (2) by the
Law of Detachment.
28.
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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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