4.
5.
Converse: If two angles have a common vertex,
then the angles are adjacent. False;
ABD
is not
adjacent to
ABC
.
Inverse: If two angles are not adjacent, then they
do not have a common vertex; False,
ABC
and
DBE
have a common vertex and are not
adjacent.
Contrapositive: If two angles do not have a
common vertex, then they are not adjacent; true.
Page 81
Reading Mathematics
1.
Conditional: If a calculator runs, then it has
batteries.
Converse: If a calculator has batteries, then it will
run.
False; a calculator may be solar powered.
2.
Conditional: If two lines intersect, then they are
not vertical.
Converse: If two lines are not vertical, then they
intersect.
False; two parallel horizontal lines will not
intersect.
3.
Conditional: If two angles are congruent, then
they have the same measure.
Converse: If two angles have the same measure,
then they are congruent.
true
4.
Conditional: If 3
x
4
20, then
x
7.
Converse: If
x
7, then 3
x
4
20.
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 Fall '10
 Dr.Zhan
 Calculus, Logic, PreCalculus, Inductive Reasoning, common vertex

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