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
YZ
, then
YX
XZ
.
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.
p
: you drive safely
q
: you can avoid accidents
Yes, statement (3) follows from (1) and (2) by the
Law of Detachment.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, easy way, Sample answer, Catriona Le, Le May Doan

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