1.
Looking at several specific situations to arrive at an educated guess is called __________.
A.
deductive reasoning
B.
inductive reasoning
C.
a conjecture
D.
guessing
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
=
BD
C.
AB
=
CD
D.
None of the statements are valid conjectures.
Hint
3.
Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music?
A.
All statements are valid conjectures.
B.
A country music station bought out her favorite music station over the weekend.
C.
Someone used her car during the weekend and changed the station.
D.
Her favorite station has changed their morning program to include country music.
Hint
4.
Determine if the following conjecture is true or false? Explain.
Given:
x
2
= 4
Conjecture:
x
= 4 or
x
= -4
A.
True; squaring a positive number results in a positive number and squaring a negative number results in 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.
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