Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300...
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Transcript of Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300...
JeopardyJeopardyChapter 2 Chapter 2
Conditional Statements
100
200
300
400
500
200
Converse/ Counterexample
100
300
400
500
Biconditonals &
Definitions
100
200
300
400
500
Law of Detachment
and Syllogism
100
200
300
400
500
JEOPARDY
100
Identify the hypothesis and conclusion of this conditional
statement:
If two lines intersect at right angles, then the two lines are perpendicular.
If two lines intersect at right angles, then the two lines are perpendicular.
Jeopardy
200
Write this statement as a conditional:
All triangles have three sides.
If a figure is a triangle, then it has three sides.
Jeopardy
300
Write the two conditional statements that make up the
following biconditional.
I drink juice if and only if it is breakfast time
If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.
Jeopardy
400
Another name for an if-then statement is a ____. Every
conditional has two parts. The part following if is the ____
and the part following then is the ____.
Conditional; hypothesis; conclusion
Jeopardy
500Draw a Draw a Venn diagram to illustrate this
conditional:
Cars are motor vehicles.
Jeopardy
100
What is the converse of the following conditional?
If a point is in the first quadrant, then its coordinates are positive.
If a points coordinates are positive, then it is in the first quadrant.
Jeopardy
200What is the converse and the truth
value of the converse of the following conditional?
If an angle is a right angle, then its measure is 90.
If an angles measure is 90, then it is a right angle.
True!
Jeopardy
300
One way to show that a statement is NOT a good
definition is to find a ____.
counterexample
Jeopardy
400
Write the converse of the statement. If the converse is true, write true; if not true, provide a counterexample.
If x = 4, then x2 =16.
If x2 =16, then x = 4.FALSE!
Jeopardy
500
Write the converse of the given true conditional and decide whether the converse is true or false..
If the probability that an event will occur is 0, then the event is impossible to occur.
Jeopardy
If an event is impossible, then the probability of the event is 0.
TRUE!
100
For the following true conditional statement, write the converse. If the converse is also true, combine the
statements as a biconditional.
If x = 3, then x2 = 9.
If x2 = 9, then x = 3.
False!
Jeopardy
200Determine whether the conditional and its converse
are both true. If both are true, combine them as a biconditional. If either is false, give a
counterexample.
If two lines are parallel, they do not intersect.
If two lines do not intersect, they are parallel.
FALSE!They could be skew!
Jeopardy
300
Decide whether the following definition of perpendicular is
reversible. If it is, state the definition as a true biconditional.
Two lines that intersect at right angles are perpendicular.
Two lines intersect at right angles if and only if they are
perpendicular.
Jeopardy
400Is the statement a good definition? If
not, find a counterexample.
A square is a figure with two pairs of parallel sides and four right angles.
No; rectangle
Jeopardy
500
When a conditional and its converse are true, you can
combine them as a true ____.
biconditional
Jeopardy
100
Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, state not possible. Explain.
Statement 1: If two lines intersect, then they are not parallel.Statement 2: do not intersect.AB
and CD
Not Possible
Jeopardy
200
If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If x = 3, then 3x – 4 = 5.
Statement 2: x = 3
3x-4 = 5
Jeopardy
300
Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
I can go to the concert if I can afford to buy a ticket.
I can go to the concert.
Not PossibleNot in “If…, then”
Jeopardy
400
Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are congruent, then they have equal measures..
Angle P and Angle Q are congruent.
Jeopardy
QmPm
500
Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64, then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.
Jeopardy
If a number is a multiple of 64, then it is a multiple of 2.
100
Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64, then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.
If a number is a multiple of 64, then it is a multiple of 2.
Jeopardy
200
A track for trains, made of metal rails fastened to wooden ties.
What is a railroad?
Jeopardy
300
An open passageway on which people, animals, cars, or other vehicles travel.
What is a road?
Jeopardy
400
An enclosure with gates built in a canal or river so that ships can be raised or lowered by changing the water level.
What are locks?
Jeopardy
DAILY DOUBLE Make your wager!
A structure or pier from which ships may load or unload.
What is a wharf ?
Jeopardy