1.
Looking at several specific situations to arrive at an educated guess is called __________.
A.
deductive reasoning
B.
guessing
C.
a conjecture
D.
inductive reasoning
Hint
2.
In the figure,
ABCD
is a square. Which of the following is a valid conjecture about points
A
,
B
,
C
, and
D
?
A.
AB
+
CD
= 12
B.
AB
=
CD
C.
AB
=
BD
D.
None of the statements are valid conjectures.
Hint
3.
Refer to the figure. If
G
is the midpoint of
, which conjecture is true?
A.
None of the statements are true.
B.
is exactly 5 feet long.
C.
intersects
at exactly two points.
D.
Hint
4.
Determine if the following conjecture is true or false? Explain.
Given:
x
2
= 4
Conjecture:
x
= 4 or
x
= -4
A.
False; the square root of a positive number is always a positive number.
B.
True; two answers are always more accurate than one answer.
C.
False; the square root of 4 is 2 or -2.
D.
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number.
Hint
5.
Make a conjecture based on the following information.
M
is obtuse.
A.
M
is straight
B.
m
M
= 30
C.
m
M
is not 180
D.
M
is acute
Hint