1.
In the figure,
ABCD
is a square. Which of the following is a valid conjecture about points
A
,
B
,
C
, and
D
?
A.
AB
=
BD
B.
AB
=
CD
C.
AB
+
CD
= 12
D.
None of the statements are valid conjectures.
Hint
2.
Refer to the figure. If
G
is the midpoint of
, which conjecture is true?
A.
B.
None of the statements are true.
C.
is exactly 5 feet long.
D.
intersects
at exactly two points.
Hint
3.
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.
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.
False; the square root of 4 is 2 or -2.
Hint
4.
What is the perimeter of the pattern consisting of 8 trapezoids?
A.
29
B.
26
C.
8
D.
23
Hint
5.
Make a conjecture based on the following information.
M
is obtuse.
A.
M
is straight
B.
M
is acute
C.
m
M
= 30
D.
m
M
is not 180
Hint