1.
Looking at several specific situations to arrive at an educated guess is called __________.
A.
guessing
B.
deductive reasoning
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.
None of the statements are valid conjectures.
C.
AB
=
CD
D.
AB
=
BD
Hint
3.
Refer to the figure. If
G
is the midpoint of
, which conjecture is true?
A.
is exactly 5 feet long.
B.
intersects
at exactly two points.
C.
D.
None of the statements are true.
Hint
4.
Determine if the following conjecture is true or false? Explain.
Given:
x
2
= 4
Conjecture:
x
= 4 or
x
= -4
A.
True; two answers are always more accurate than one answer.
B.
False; the square root of 4 is 2 or -2.
C.
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number.
D.
False; the square root of a positive number is always a positive number.
Hint
5.
A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information?
A.
The team was undefeated.
B.
The team finished 5th in their conference.
C.
The team played 19 games..
D.
The team won their last 5 games.
Hint