Jeopardy Chapter 2.

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Presentation transcript:

Jeopardy Chapter 2

JEOPARDY Conditional Statements Converse/ 100 100 100 100 200 200 200 Counterexample Biconditonals & Definitions Law of Detachment and Syllogism 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400 500 500 500 500

Identify the hypothesis and conclusion of this conditional statement: 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

I drink juice if and only if it is breakfast time 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 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

500 Draw a Draw a Venn diagram to illustrate this conditional: Cars are motor vehicles.

Jeopardy

What is the converse of the following conditional? 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

If an angle is a right angle, then its measure is 90. 200 What 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.

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

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

200 Determine 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

Two lines that intersect at right angles are perpendicular. 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

Is the statement a good definition? If not, find a counterexample. 400 Is 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.

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 Possible Not 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

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.

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

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

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