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Jeopardy
Chapter
Two Review
Section 2.1 :
Conditional
Statements
Section 2.2 :
Biconditional
Statements
Section 2.3 :
Symbolic
Notation
Section 2.4 :
Reasoning
with Properties
from Algebra
Section 2.5 & 2.6 :
Proving Statements
and Angles
2.1
2.2
2.3
2.4
2.5&2.6
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Section 2.1 for 100
Rewrite the following
statement in if-then form:
“All right triangles have an
angle with a measure of
90 degrees.”
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Section 2.1 for 200

“If I get a chance then I
will succeed.”
In this conditional
statement, the underlined
portion is the???
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DAILY
DOUBLE
Section 2.1 for 300
Decide which one of the following
is false:
A. A line contains at least two points
B. Through any two distinct points there
exists exactly one line.
C. Three non-collinear points determine
a plane.
D. Any three points lie on a distinct line.
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Section 2.1 for 400
Complete the following statement as stated
by the Point, Line, and Plane Postulates:
A line ______ contains at least _____ points.
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Section 2.1 for 500

Write the Converse of the
following statement:
“If x² = 25, then x = -5.”
Is the Statement True?
 Is the Converse True?

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Section 2.2 for 100

State a counterexample to the
following definition:
A circle is a figure that is round.
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Section 2.2 for 200
True or False: Segment DC is
parallel to Segment BF.
B
D
F
C
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Section 2.2 for 300

The figure below represents
two rays that are??
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Section 2.2 for 400
Two lines are perpendicular if and only
if they intersect to form a right angle.
A. Is this a biconditional statement?
B. Is the statement true?
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Section 2.2 for 500
Write the converse of the true statement and
decide whether the converse is true or false. If
the converse is true, combine it with the original
statement to form a true biconditional statement.
If the converse is false state a counterexample.
If a ray bisects an angle, then it divides the
angle into two congruent angles.
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Section 2.3 for 100
Given that:
• No people who give assignments are friendly.
• All instructors make assignments.
What Conclusion can be logically induced?
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Section 2.3 for 200
Assuming the first two statements are true,
is the following conclusion valid or invalid?
If valid, by which law: the Law of
Detachment or the Law of Syllogism?
~p~q
~p
Conclusion: ~q
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Section 2.3 for 300
Is the following an example of inductive or
deductive reasoning?
The last 12 times that a famous person
was married, a third famous person was
married within a week. Two famous people
were married yesterday. Another famous
person will be married within a week.
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Section 2.3 for 400
From the given true statements, make a
valid conclusion. Then state whether you
are using the Law of Detachment or the
Law of Syllogism.
~v~w
~v
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DAILY
DOUBLE
Section 2.3 for 500
Write the following symbolic statement in
conditional or biconditional form and determine
whether the statement is true or false. Then
write the contrapositive in symbolic form and
determine whether it is true or false.
pq
p= two planes intersect
q= the intersection is a line
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Section 2.4 for 100
Which of the following is an example of the
reflexive property??
A. If x+3 = y and y = -4, then x+3 = -4.
B. If x=3, then x-4 = 3-4.
C. If y=x-4, then x-4=y.
D. x+3 = x+3.
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Section 2.4 for 200
Explain what is required to
disprove a conditional (if-then)
statement.
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Section 2.4 for 300
Identify the property of congruence.
<B
<B.
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Section 2.4 for 400
If PQ = 3 and PQ + RS = 5, then
3 + RS = 5 is an example of what
property of equality?
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DAILY
DOUBLE
Section 2.4 for 500
You want to know the number of minutes
that you can use on your \$40.00 phone
card. The card company charges you
\$0.25 for the first minute and \$0.10 for
each additional minute. Solve the formula
\$40.00=\$0.25+\$0.10m for m. Justify each
step with an algebraic property of equality.
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Section 2.5 & 2.6 for 100
<1 and <2 are a linear pair.
If m>2 = 67°, then find m>1.
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Section 2.5 & 2.6 for 200
<1 and <2 are supplementary angles.
<1 and <3 are vertical angles.
If m<2 = 72°, then find the m<3.
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Section 2.5 & 2.6 for 300
Write the conclusion to be drawn from
the given information. An isosceles
triangle has two congruent sides.
In Triangle LMN, Segment LM
is congruent to Segment MN.
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Section 2.5 & 2.6 for 400
Give the reason for the step taken from a
proof.
<1 and <2 are a linear pair.
Given
<1 and <2 are supplementary.
??
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DAILY
DOUBLE
Section 2.5 & 2.6 for 500
Provide the reasons for the following proof.
Given: BC=CD and AB=DE
Prove: AC=CE
A
B
C
D
Statements
BC=CD and AB=DE
BC+AB = CD+AB
BC+AB=AC, CD+DE = CE
AC=CE
E
Reasons
???
???
???
???
Final Jeopardy!
If <1 is congruent to <3,
<4 is supplementary to <1,
and if <2 and <3 are also
supplementary, show that
<4 is congruent to <2.