jeopardy chapter 2 conditional statements 100 200 300 400 500 200 converse/ counterexample 100 300...

53
Jeopardy Jeopardy Chapter 2 Chapter 2

Upload: sheryl-hood

Post on 01-Jan-2016

217 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

JeopardyJeopardyChapter 2 Chapter 2

Page 2: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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

Page 3: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

100

Identify the hypothesis and conclusion of this conditional

statement:

If two lines intersect at right angles, then the two lines are perpendicular.

Page 4: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

If two lines intersect at right angles, then the two lines are perpendicular.

Jeopardy

Page 5: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

200

Write this statement as a conditional:

All triangles have three sides.

Page 6: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

If a figure is a triangle, then it has three sides.

Jeopardy

Page 7: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

300

Write the two conditional statements that make up the

following biconditional.

I drink juice if and only if it is breakfast time

Page 8: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

If I drink juice, then it is breakfast time.

If it is breakfast time, then I drink juice.

Jeopardy

Page 9: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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 ____.

Page 10: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

Conditional; hypothesis; conclusion

Jeopardy

Page 11: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

500Draw a Draw a Venn diagram to illustrate this

conditional:

Cars are motor vehicles.

Page 12: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

Jeopardy

Page 13: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

100

What is the converse of the following conditional?

If a point is in the first quadrant, then its coordinates are positive.

Page 14: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

If a points coordinates are positive, then it is in the first quadrant.

Jeopardy

Page 15: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 16: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

If an angles measure is 90, then it is a right angle.

True!

Jeopardy

Page 17: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

300

One way to show that a statement is NOT a good

definition is to find a ____.

Page 18: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

counterexample

Jeopardy

Page 19: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 20: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

If x2 =16, then x = 4.FALSE!

Jeopardy

Page 21: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 22: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

Jeopardy

If an event is impossible, then the probability of the event is 0.

TRUE!

Page 23: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 24: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

If x2 = 9, then x = 3.

False!

Jeopardy

Page 25: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 26: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

FALSE!They could be skew!

Jeopardy

Page 27: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 28: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

Two lines intersect at right angles if and only if they are

perpendicular.

Jeopardy

Page 29: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 30: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

No; rectangle

Jeopardy

Page 31: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

500

When a conditional and its converse are true, you can

combine them as a true ____.

Page 32: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

biconditional

Jeopardy

Page 33: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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

Page 34: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

Not Possible

Jeopardy

Page 35: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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

Page 36: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

3x-4 = 5

Jeopardy

Page 37: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 38: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

Not PossibleNot in “If…, then”

Jeopardy

Page 39: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 40: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

Jeopardy

QmPm

Page 41: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 42: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

Jeopardy

If a number is a multiple of 64, then it is a multiple of 2.

Page 43: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

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.

Page 44: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

If a number is a multiple of 64, then it is a multiple of 2.

Jeopardy

Page 45: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

200

A track for trains, made of metal rails fastened to wooden ties.

Page 46: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

What is a railroad?

Jeopardy

Page 47: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

300

An open passageway on which people, animals, cars, or other vehicles travel.

Page 48: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

What is a road?

Jeopardy

Page 49: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

400

An enclosure with gates built in a canal or river so that ships can be raised or lowered by changing the water level.

Page 50: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

What are locks?

Jeopardy

Page 51: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

DAILY DOUBLE Make your wager!

Page 52: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

A structure or pier from which ships may load or unload.

Page 53: Jeopardy Chapter 2 Conditional Statements 100 200 300 400 500 200 Converse/ Counterexample 100 300 400 500 Biconditonals & Definitions 100 200 300 400

What is a wharf ?

Jeopardy