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Final Jeopardy
$100 Question from H1
The part of the conditional statement
that follows then
$100 Answer from H1
Conclusion
$200 Question from H1
p
q is the symbol for the
__________ statement
$200 Answer from H1
Conditional
$300 Question from H1
To show that a conditional statement
is false, you need to find only one
_______________
$300 Answer from H1
Counterexample
$400 Question from H1
Write the converse of the conditional
If an angle is acute, then it measures
less than 90 degrees.
$400 Answer from H1
If an angle measures less than 90
degrees, then it is acute.
$500 Question from H1
Write a biconditional for
A midpoint of a segment is a point
that divides a segment into two
congruent segments.
$500 Answer from H1
A point is a midpoint of a segment
if and only if it divides a segment
into two congruent segments.
$100 Question from H2
What is the negation of:
The angle is not obtuse.
$100 Answer from H2
The angle is obtuse.
$200 Question from H2
What is the inverse of
If you eat all of your vegetables,
then you will grow.
$200 Answer from H2
If you don’t eat all of your vegetables,
then you won’t grow.
$300 Question from H2
What is the contrapositive of:
If a figure is a square, then all of its
angles are right angles.
$300 Answer from H2
If at least one of the angles is not a right
angle, then the figure is not a square.
$400 Question from H2
What is the contrapositive and the
truth value of the contrapositive of:
If four points are collinear, then they are
coplanar.
$400 Answer from H2
If four points aren’t coplanar, then they
aren’t collinear. True
$500 Question from H2
Write the contrapositive illustrated
by the Venn Diagram
obtuse angles
120 degree
angles
$500 Answer from H2
If the angle isn’t obtuse, then it
doesn’t measure 120 degrees.
$100 Question from H3
What conclusion can you draw from
the following statement:
Coach Evers knows that if it rains, the
game will be cancelled. It is raining.
$100 Answer from H3
The game will be cancelled.
$200 Question from H3
Use the Law of Detachment to draw
a conclusion:
If a student wants to go to college, then the
student must study hard. Jamal wants to go
to the Western Carolina University.
$200 Answer from H3
Jamal must study hard.
$300 Question from H3
Use the Law of Detachment to draw a
conclusion:
If two lines are parallel, then they do not
intersect. Line l is parallel to line m.
$300 Answer from H3
Line l and line m do not intersect.
$400 Question from H3
Use the Law of Syllogism to draw a
conclusion:
If three points are on the same line, then they
are collinear. Points X, Y, and Z are on the
same line.
$400 Answer from H3
Points X, Y, and Z are collinear.
$500 Question from H3
Use the Law of Syllogism to draw a
conclusion.
If an angle is obtuse, then it is not acute.
Angle xyz is not obtuse.
$500 Answer from H3
Not Possible.
$100 Question from H4
Name the property illustrated:
Angle t=Angle t
$100 Answer from H4
Reflexive Property
$200 Question from H4
What property is shown:
If 2x—7=10, then 2x=17
$200 Answer from H4
Addition Property of Equality
$300 Question from H4
Name the Property:
2(2x—5)=4x—10
$300 Answer from H4
Distributive Property
$400 Question from H4
Two angles whose sides form two
pairs of opposite rays.
$400 Answer from H4
Vertical Angles
$500 Question from H4
Find the value of x and y in the
diagram below:
y°
3x°
75°
$500 Answer from H4
x=25, y=105
$100 Question from H5
Angle whose sum is greater than
zero and less than 90 degrees
$100 Answer from H5
Acute
$200 Question from H5
Identify the hypothesis and
conclusion of the statement below:
If x+9=11, then x=2.
$200 Answer from H5
hypothesis: x+9=11
conclusion: x=2
$300 Question from H5
~q
~p is the symbol for:
$300 Answer from H5
contrapositive
$400 Question from H5
Find the value of the variable
(3x+31)°
(2x—6 )°
$400 Answer from H5
31
$500 Question from H5
Find the value of the variable and the
measure of each labeled angle.
(4x+5)°
(3x+8)°
$500 Answer from H5
x=11; the two angles are 49
and 41
Final Jeopardy
Angle A and angle B are complementary
the measure angle A=3x+12 and the measure of
angle B=2x—22
Final Jeopardy Answer
measure of angle A=72
measure of angle B=18