1.
In the figure,
ABCD
is a square. Which of the following is a valid conjecture about points
A
,
B
,
C
, and
D
?
A.
None of the statements are valid conjectures.
B.
AB
=
BD
C.
AB
=
CD
D.
AB
+
CD
= 12
Hint
2.
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.
Someone used her car during the weekend and changed the station.
B.
All statements are valid conjectures.
C.
A country music station bought out her favorite music station over the weekend.
D.
Her favorite station has changed their morning program to include country music.
Hint
3.
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 4 is 2 or -2.
B.
False; the square root of a positive number is always a positive number.
C.
True; two answers are always more accurate than one answer.
D.
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number.
Hint
4.
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 won their last 5 games.
B.
The team played 19 games..
C.
The team was undefeated.
D.
The team finished 5th in their conference.
Hint
5.
To show that a conjecture is false, you need to provide one _____.
A.
counterexample
B.
guess
C.
theorem
D.
possibility
Hint