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